8,561,403

3³ × 317089

Starting at 8,561,403, the Collatz iteration reaches 1 after 106 steps. The first transition is 25684210; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 317089

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,683,600

Proper Divisor Sum 4,122,197

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8561383 ← → #8561407

Radix Representation

Decimal	8561403
Binary	100000101010001011111011 (24 bits)
Octal	0o40521373
Hexadecimal	0x82A2FB

Divisor Catalog (8)

1 3 9 27 317,089 951,267 2,853,801 8,561,403

Collatz Trajectory (106 steps to reach 1)

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

8,561,403 25,684,210 12,842,105 38,526,316 19,263,158 9,631,579 28,894,738 14,447,369 43,342,108 21,671,054 10,835,527 32,506,582 16,253,291 48,759,874 24,379,937 73,139,812 36,569,906 18,284,953 54,854,860 27,427,430 13,713,715 41,141,146 20,570,573 61,711,720 30,855,860 15,427,930 7,713,965 23,141,896 11,570,948 5,785,474 2,892,737 8,678,212 4,339,106 2,169,553 6,508,660 3,254,330 1,627,165 4,881,496 2,440,748 1,220,374 610,187 1,830,562 915,281 2,745,844 1,372,922 686,461 2,059,384 1,029,692 514,846 257,423 772,270 386,135 1,158,406 579,203 1,737,610 868,805 2,606,416 1,303,208 651,604 325,802

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