λ
Ratio Atlas
Atlas › Integer Profiles › Node 65,585,535
65,585,535
3 × 5 × 23 × 43 × 4421
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 23 × 43 × 4421
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 112,071,168
Proper Divisor Sum 46,485,633
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #65585519 ← → #65585537

Radix Representation

Decimal 65585535
Binary 11111010001100000101111111 (26 bits)
Octal 0o372140577
Hexadecimal 0x3E8C17F

Divisor Catalog (32)

1 3 5 15 23 43 69 115 129 215 345 645 989 2,967 4,421 4,945 13,263 14,835 22,105 66,315 101,683 190,103 305,049 508,415 570,309 950,515 1,525,245 2,851,545 4,372,369 13,117,107 21,861,845 65,585,535

Collatz Trajectory (202 steps to reach 1)

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

65,585,535 196,756,606 98,378,303 295,134,910 147,567,455 442,702,366 221,351,183 664,053,550 332,026,775 996,080,326 498,040,163 1,494,120,490 747,060,245 2,241,180,736 1,120,590,368 560,295,184 280,147,592 140,073,796 70,036,898 35,018,449 105,055,348 52,527,674 26,263,837 78,791,512 39,395,756 19,697,878 9,848,939 29,546,818 14,773,409 44,320,228 22,160,114 11,080,057 33,240,172 16,620,086 8,310,043 24,930,130 12,465,065 37,395,196 18,697,598 9,348,799 28,046,398 14,023,199 42,069,598 21,034,799 63,104,398 31,552,199 94,656,598 47,328,299 141,984,898 70,992,449 212,977,348 106,488,674 53,244,337 159,733,012 79,866,506 39,933,253 119,799,760 59,899,880 29,949,940 14,974,970

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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