8,902,817

7 × 11² × 23 × 457

8,902,817 factors as 7 × 11^2 × 23 × 457. Its 24 positive divisors give a proper-divisor sum of 2,792,671, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 7 × 11^2 × 23 × 457

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,695,488

Proper Divisor Sum 2,792,671

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8902807 ← → #8902837

Radix Representation

Decimal	8902817
Binary	100001111101100010100001 (24 bits)
Octal	0o41754241
Hexadecimal	0x87D8A1

Divisor Catalog (24)

Collatz Trajectory (168 steps to reach 1)

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

8,902,817 26,708,452 13,354,226 6,677,113 20,031,340 10,015,670 5,007,835 15,023,506 7,511,753 22,535,260 11,267,630 5,633,815 16,901,446 8,450,723 25,352,170 12,676,085 38,028,256 19,014,128 9,507,064 4,753,532 2,376,766 1,188,383 3,565,150 1,782,575 5,347,726 2,673,863 8,021,590 4,010,795 12,032,386 6,016,193 18,048,580 9,024,290 4,512,145 13,536,436 6,768,218 3,384,109 10,152,328 5,076,164 2,538,082 1,269,041 3,807,124 1,903,562 951,781 2,855,344 1,427,672 713,836 356,918 178,459 535,378 267,689 803,068 401,534 200,767 602,302 301,151 903,454 451,727 1,355,182 677,591 2,032,774

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