9,072,879

3 × 23² × 5717

Starting at 9,072,879, the Collatz iteration reaches 1 after 256 steps. The first transition is 27218638; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 23^2 × 5717

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,648,216

Proper Divisor Sum 3,575,337

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9072859 ← → #9072893

Radix Representation

Decimal	9072879
Binary	100010100111000011101111 (24 bits)
Octal	0o42470357
Hexadecimal	0x8A70EF

Divisor Catalog (12)

1 3 23 69 529 1,587 5,717 17,151 131,491 394,473 3,024,293 9,072,879

Collatz Trajectory (256 steps to reach 1)

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

9,072,879 27,218,638 13,609,319 40,827,958 20,413,979 61,241,938 30,620,969 91,862,908 45,931,454 22,965,727 68,897,182 34,448,591 103,345,774 51,672,887 155,018,662 77,509,331 232,527,994 116,263,997 348,791,992 174,395,996 87,197,998 43,598,999 130,796,998 65,398,499 196,195,498 98,097,749 294,293,248 147,146,624 73,573,312 36,786,656 18,393,328 9,196,664 4,598,332 2,299,166 1,149,583 3,448,750 1,724,375 5,173,126 2,586,563 7,759,690 3,879,845 11,639,536 5,819,768 2,909,884 1,454,942 727,471 2,182,414 1,091,207 3,273,622 1,636,811 4,910,434 2,455,217 7,365,652 3,682,826 1,841,413 5,524,240 2,762,120 1,381,060 690,530 345,265

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