8,680,148

2² × 47 × 46171

8,680,148 factors as 2^2 × 47 × 46171. Its 12 positive divisors give a proper-divisor sum of 6,833,644, so this integer is deficient. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 2^2 × 47 × 46171

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,513,792

Proper Divisor Sum 6,833,644

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8680121 ← → #8680153

Radix Representation

Decimal	8680148
Binary	100001000111001011010100 (24 bits)
Octal	0o41071324
Hexadecimal	0x8472D4

Divisor Catalog (12)

1 2 4 47 94 188 46,171 92,342 184,684 2,170,037 4,340,074 8,680,148

Collatz Trajectory (67 steps to reach 1)

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

8,680,148 4,340,074 2,170,037 6,510,112 3,255,056 1,627,528 813,764 406,882 203,441 610,324 305,162 152,581 457,744 228,872 114,436 57,218 28,609 85,828 42,914 21,457 64,372 32,186 16,093 48,280 24,140 12,070 6,035 18,106 9,053 27,160 13,580 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256

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