4,476,152

2³ × 31 × 18049

4,476,152 factors as 2^3 × 31 × 18049. Its 16 positive divisors give a proper-divisor sum of 4,187,848, so this integer is deficient. The Collatz stopping time is 255 steps.

Prime Factor Structure

Factorization String 2^3 × 31 × 18049

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,664,000

Proper Divisor Sum 4,187,848

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #4476137 ← → #4476167

Radix Representation

Decimal	4476152
Binary	10001000100110011111000 (23 bits)
Octal	0o21046370
Hexadecimal	0x444CF8

Divisor Catalog (16)

1 2 4 8 31 62 124 248 18,049 36,098 72,196 144,392 559,519 1,119,038 2,238,076 4,476,152

Collatz Trajectory (255 steps to reach 1)

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

4,476,152 2,238,076 1,119,038 559,519 1,678,558 839,279 2,517,838 1,258,919 3,776,758 1,888,379 5,665,138 2,832,569 8,497,708 4,248,854 2,124,427 6,373,282 3,186,641 9,559,924 4,779,962 2,389,981 7,169,944 3,584,972 1,792,486 896,243 2,688,730 1,344,365 4,033,096 2,016,548 1,008,274 504,137 1,512,412 756,206 378,103 1,134,310 567,155 1,701,466 850,733 2,552,200 1,276,100 638,050 319,025 957,076 478,538 239,269 717,808 358,904 179,452 89,726 44,863 134,590 67,295 201,886 100,943 302,830 151,415 454,246 227,123 681,370 340,685 1,022,056

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