8,169,988

2² × 31 × 41 × 1607

8,169,988 factors as 2^2 × 31 × 41 × 1607. Its 24 positive divisors give a proper-divisor sum of 6,958,076, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^2 × 31 × 41 × 1607

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,128,064

Proper Divisor Sum 6,958,076

Digit Sum / Digital Root 49 (Root: 4)

Adjacent Primes #8169983 ← → #8169989

Radix Representation

Decimal	8169988
Binary	11111001010101000000100 (23 bits)
Octal	0o37125004
Hexadecimal	0x7CAA04

Divisor Catalog (24)

1 2 4 31 41 62 82 124 164 1,271 1,607 2,542 3,214 5,084 6,428 49,817 65,887 99,634 131,774 199,268 263,548 2,042,497 4,084,994 8,169,988

Collatz Trajectory (124 steps to reach 1)

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

8,169,988 4,084,994 2,042,497 6,127,492 3,063,746 1,531,873 4,595,620 2,297,810 1,148,905 3,446,716 1,723,358 861,679 2,585,038 1,292,519 3,877,558 1,938,779 5,816,338 2,908,169 8,724,508 4,362,254 2,181,127 6,543,382 3,271,691 9,815,074 4,907,537 14,722,612 7,361,306 3,680,653 11,041,960 5,520,980 2,760,490 1,380,245 4,140,736 2,070,368 1,035,184 517,592 258,796 129,398 64,699 194,098 97,049 291,148 145,574 72,787 218,362 109,181 327,544 163,772 81,886 40,943 122,830 61,415 184,246 92,123 276,370 138,185 414,556 207,278 103,639 310,918

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