λ
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Atlas › Integer Profiles › Node 76,356,468

76,356,468

22 × 32 × 1231 × 1723
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 1231 × 1723
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 193,281,088
Proper Divisor Sum 116,924,620
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #76356463 ← → #76356487

Radix Representation

Decimal 76356468
Binary 100100011010001101101110100 (27 bits)
Octal 0o443215564
Hexadecimal 0x48D1B74

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 1,231 1,723 2,462 3,446 3,693 4,924 5,169 6,892 7,386 10,338 11,079 14,772 15,507 20,676 22,158 31,014 44,316 62,028 2,121,013 4,242,026 6,363,039 8,484,052 12,726,078 19,089,117 25,452,156 38,178,234 76,356,468

Collatz Trajectory (228 steps to reach 1)

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

76,356,468 38,178,234 19,089,117 57,267,352 28,633,676 14,316,838 7,158,419 21,475,258 10,737,629 32,212,888 16,106,444 8,053,222 4,026,611 12,079,834 6,039,917 18,119,752 9,059,876 4,529,938 2,264,969 6,794,908 3,397,454 1,698,727 5,096,182 2,548,091 7,644,274 3,822,137 11,466,412 5,733,206 2,866,603 8,599,810 4,299,905 12,899,716 6,449,858 3,224,929 9,674,788 4,837,394 2,418,697 7,256,092 3,628,046 1,814,023 5,442,070 2,721,035 8,163,106 4,081,553 12,244,660 6,122,330 3,061,165 9,183,496 4,591,748 2,295,874 1,147,937 3,443,812 1,721,906 860,953 2,582,860 1,291,430 645,715 1,937,146 968,573 2,905,720

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