λ
Ratio Atlas
Atlas › Integer Profiles › Node 72,025,198
72,025,198
2 × 74 × 53 × 283
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7^4 × 53 × 283
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 128,868,408
Proper Divisor Sum 56,843,210
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #72025189 ← → #72025207

Radix Representation

Decimal 72025198
Binary 100010010110000010001101110 (27 bits)
Octal 0o422602156
Hexadecimal 0x44B046E

Divisor Catalog (40)

1 2 7 14 49 53 98 106 283 343 371 566 686 742 1,981 2,401 2,597 3,962 4,802 5,194 13,867 14,999 18,179 27,734 29,998 36,358 97,069 104,993 127,253 194,138 209,986 254,506 679,483 734,951 1,358,966 1,469,902 5,144,657 10,289,314 36,012,599 72,025,198

Collatz Trajectory (251 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

72,025,198 36,012,599 108,037,798 54,018,899 162,056,698 81,028,349 243,085,048 121,542,524 60,771,262 30,385,631 91,156,894 45,578,447 136,735,342 68,367,671 205,103,014 102,551,507 307,654,522 153,827,261 461,481,784 230,740,892 115,370,446 57,685,223 173,055,670 86,527,835 259,583,506 129,791,753 389,375,260 194,687,630 97,343,815 292,031,446 146,015,723 438,047,170 219,023,585 657,070,756 328,535,378 164,267,689 492,803,068 246,401,534 123,200,767 369,602,302 184,801,151 554,403,454 277,201,727 831,605,182 415,802,591 1,247,407,774 623,703,887 1,871,111,662 935,555,831 2,806,667,494 1,403,333,747 4,210,001,242 2,105,000,621 6,315,001,864 3,157,500,932 1,578,750,466 789,375,233 2,368,125,700 1,184,062,850 592,031,425

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #72,025,197 Browse Full Index Next Integer #72,025,199 →