8,922,017

13³ × 31 × 131

8,922,017 factors as 13^3 × 31 × 131. Its 16 positive divisors give a proper-divisor sum of 1,131,103, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 13^3 × 31 × 131

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,053,120

Proper Divisor Sum 1,131,103

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8922013 ← → #8922019

Radix Representation

Decimal	8922017
Binary	100010000010001110100001 (24 bits)
Octal	0o42021641
Hexadecimal	0x8823A1

Divisor Catalog (16)

1 13 31 131 169 403 1,703 2,197 4,061 5,239 22,139 52,793 68,107 287,807 686,309 8,922,017

Collatz Trajectory (163 steps to reach 1)

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

8,922,017 26,766,052 13,383,026 6,691,513 20,074,540 10,037,270 5,018,635 15,055,906 7,527,953 22,583,860 11,291,930 5,645,965 16,937,896 8,468,948 4,234,474 2,117,237 6,351,712 3,175,856 1,587,928 793,964 396,982 198,491 595,474 297,737 893,212 446,606 223,303 669,910 334,955 1,004,866 502,433 1,507,300 753,650 376,825 1,130,476 565,238 282,619 847,858 423,929 1,271,788 635,894 317,947 953,842 476,921 1,430,764 715,382 357,691 1,073,074 536,537 1,609,612 804,806 402,403 1,207,210 603,605 1,810,816 905,408 452,704 226,352 113,176 56,588

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