8,579,095

5 × 7 × 31 × 7907

Starting at 8,579,095, the Collatz iteration reaches 1 after 150 steps. The first transition is 25737286; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 31 × 7907

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,146,688

Proper Divisor Sum 3,567,593

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #8579093 ← → #8579107

Radix Representation

Decimal	8579095
Binary	100000101110100000010111 (24 bits)
Octal	0o40564027
Hexadecimal	0x82E817

Divisor Catalog (16)

1 5 7 31 35 155 217 1,085 7,907 39,535 55,349 245,117 276,745 1,225,585 1,715,819 8,579,095

Collatz Trajectory (150 steps to reach 1)

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

8,579,095 25,737,286 12,868,643 38,605,930 19,302,965 57,908,896 28,954,448 14,477,224 7,238,612 3,619,306 1,809,653 5,428,960 2,714,480 1,357,240 678,620 339,310 169,655 508,966 254,483 763,450 381,725 1,145,176 572,588 286,294 143,147 429,442 214,721 644,164 322,082 161,041 483,124 241,562 120,781 362,344 181,172 90,586 45,293 135,880 67,940 33,970 16,985 50,956 25,478 12,739 38,218 19,109 57,328 28,664 14,332 7,166 3,583 10,750 5,375 16,126 8,063 24,190 12,095 36,286 18,143 54,430

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