8,167,372

2² × 859 × 2377

8,167,372 factors as 2^2 × 859 × 2377. Its 12 positive divisors give a proper-divisor sum of 6,148,188, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^2 × 859 × 2377

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,315,560

Proper Divisor Sum 6,148,188

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8167337 ← → #8167373

Radix Representation

Decimal	8167372
Binary	11111001001111111001100 (23 bits)
Octal	0o37117714
Hexadecimal	0x7C9FCC

Divisor Catalog (12)

1 2 4 859 1,718 2,377 3,436 4,754 9,508 2,041,843 4,083,686 8,167,372

Collatz Trajectory (124 steps to reach 1)

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

8,167,372 4,083,686 2,041,843 6,125,530 3,062,765 9,188,296 4,594,148 2,297,074 1,148,537 3,445,612 1,722,806 861,403 2,584,210 1,292,105 3,876,316 1,938,158 969,079 2,907,238 1,453,619 4,360,858 2,180,429 6,541,288 3,270,644 1,635,322 817,661 2,452,984 1,226,492 613,246 306,623 919,870 459,935 1,379,806 689,903 2,069,710 1,034,855 3,104,566 1,552,283 4,656,850 2,328,425 6,985,276 3,492,638 1,746,319 5,238,958 2,619,479 7,858,438 3,929,219 11,787,658 5,893,829 17,681,488 8,840,744 4,420,372 2,210,186 1,105,093 3,315,280 1,657,640 828,820 414,410 207,205 621,616 310,808

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