λ
Ratio Atlas
Atlas › Integer Profiles › Node 23,100,735
23,100,735
3 × 5 × 7 × 31 × 47 × 151
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 31 × 47 × 151
Distinct Prime Factors 6
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 44,826,624
Proper Divisor Sum 21,725,889
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #23100731 ← → #23100743

Radix Representation

Decimal 23100735
Binary 1011000000111110100111111 (25 bits)
Octal 0o130076477
Hexadecimal 0x1607D3F

Divisor Catalog (60 of 64)

1 3 5 7 15 21 31 35 47 93 105 141 151 155 217 235 329 453 465 651 705 755 987 1,057 1,085 1,457 1,645 2,265 3,171 3,255 4,371 4,681 4,935 5,285 7,097 7,285 10,199 14,043 15,855 21,291 21,855 23,405 30,597 32,767 35,485 49,679 50,995 70,215 98,301 106,455 149,037 152,985 163,835 220,007 248,395 491,505 660,021 745,185 1,100,035 1,540,049

Collatz Trajectory (278 steps to reach 1)

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

23,100,735 69,302,206 34,651,103 103,953,310 51,976,655 155,929,966 77,964,983 233,894,950 116,947,475 350,842,426 175,421,213 526,263,640 263,131,820 131,565,910 65,782,955 197,348,866 98,674,433 296,023,300 148,011,650 74,005,825 222,017,476 111,008,738 55,504,369 166,513,108 83,256,554 41,628,277 124,884,832 62,442,416 31,221,208 15,610,604 7,805,302 3,902,651 11,707,954 5,853,977 17,561,932 8,780,966 4,390,483 13,171,450 6,585,725 19,757,176 9,878,588 4,939,294 2,469,647 7,408,942 3,704,471 11,113,414 5,556,707 16,670,122 8,335,061 25,005,184 12,502,592 6,251,296 3,125,648 1,562,824 781,412 390,706 195,353 586,060 293,030 146,515

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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