λ
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Atlas › Integer Profiles › Node 76,353,944

76,353,944

23 × 47 × 61 × 3329
Deficient Even Composite

76,353,944 factors as 2^3 × 47 × 61 × 3329. Its 32 positive divisors give a proper-divisor sum of 72,297,256, so this integer is deficient. The Collatz stopping time is 228 steps.

Prime Factor Structure

Factorization String 2^3 × 47 × 61 × 3329
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 148,651,200
Proper Divisor Sum 72,297,256
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #76353943 ← → #76354001

Radix Representation

Decimal 76353944
Binary 100100011010001000110011000 (27 bits)
Octal 0o443210630
Hexadecimal 0x48D1198

Divisor Catalog (32)

1 2 4 8 47 61 94 122 188 244 376 488 2,867 3,329 5,734 6,658 11,468 13,316 22,936 26,632 156,463 203,069 312,926 406,138 625,852 812,276 1,251,704 1,624,552 9,544,243 19,088,486 38,176,972 76,353,944

Collatz Trajectory (228 steps to reach 1)

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

76,353,944 38,176,972 19,088,486 9,544,243 28,632,730 14,316,365 42,949,096 21,474,548 10,737,274 5,368,637 16,105,912 8,052,956 4,026,478 2,013,239 6,039,718 3,019,859 9,059,578 4,529,789 13,589,368 6,794,684 3,397,342 1,698,671 5,096,014 2,548,007 7,644,022 3,822,011 11,466,034 5,733,017 17,199,052 8,599,526 4,299,763 12,899,290 6,449,645 19,348,936 9,674,468 4,837,234 2,418,617 7,255,852 3,627,926 1,813,963 5,441,890 2,720,945 8,162,836 4,081,418 2,040,709 6,122,128 3,061,064 1,530,532 765,266 382,633 1,147,900 573,950 286,975 860,926 430,463 1,291,390 645,695 1,937,086 968,543 2,905,630

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