Integer 72,720,009 Profile | Ratio Atlas

72,720,009

3² × 43 × 187907

Prime Factor Structure

Factorization String 3^2 × 43 × 187907

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 107,483,376

Proper Divisor Sum 34,763,367

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #72720001 ← → #72720013

Radix Representation

Decimal	72720009
Binary	100010101011001111010001001 (27 bits)
Octal	0o425317211
Hexadecimal	0x4559E89

Divisor Catalog (12)

1 3 9 43 129 387 187,907 563,721 1,691,163 8,080,001 24,240,003 72,720,009

Collatz Trajectory (220 steps to reach 1)

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

72,720,009 218,160,028 109,080,014 54,540,007 163,620,022 81,810,011 245,430,034 122,715,017 368,145,052 184,072,526 92,036,263 276,108,790 138,054,395 414,163,186 207,081,593 621,244,780 310,622,390 155,311,195 465,933,586 232,966,793 698,900,380 349,450,190 174,725,095 524,175,286 262,087,643 786,262,930 393,131,465 1,179,394,396 589,697,198 294,848,599 884,545,798 442,272,899 1,326,818,698 663,409,349 1,990,228,048 995,114,024 497,557,012 248,778,506 124,389,253 373,167,760 186,583,880 93,291,940 46,645,970 23,322,985 69,968,956 34,984,478 17,492,239 52,476,718 26,238,359 78,715,078 39,357,539 118,072,618 59,036,309 177,108,928 88,554,464 44,277,232 22,138,616 11,069,308 5,534,654 2,767,327

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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