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Atlas › Integer Profiles › Node 48,175,936

48,175,936

26 × 251 × 2999
Deficient Even Composite

48,175,936 factors as 2^6 × 251 × 2999. Its 28 positive divisors give a proper-divisor sum of 47,836,064, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^6 × 251 × 2999
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 96,012,000
Proper Divisor Sum 47,836,064
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #48175927 ← → #48175957

Radix Representation

Decimal 48175936
Binary 10110111110001101101000000 (26 bits)
Octal 0o267615500
Hexadecimal 0x2DF1B40

Divisor Catalog (28)

1 2 4 8 16 32 64 251 502 1,004 2,008 2,999 4,016 5,998 8,032 11,996 16,064 23,992 47,984 95,968 191,936 752,749 1,505,498 3,010,996 6,021,992 12,043,984 24,087,968 48,175,936

Collatz Trajectory (186 steps to reach 1)

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

48,175,936 24,087,968 12,043,984 6,021,992 3,010,996 1,505,498 752,749 2,258,248 1,129,124 564,562 282,281 846,844 423,422 211,711 635,134 317,567 952,702 476,351 1,429,054 714,527 2,143,582 1,071,791 3,215,374 1,607,687 4,823,062 2,411,531 7,234,594 3,617,297 10,851,892 5,425,946 2,712,973 8,138,920 4,069,460 2,034,730 1,017,365 3,052,096 1,526,048 763,024 381,512 190,756 95,378 47,689 143,068 71,534 35,767 107,302 53,651 160,954 80,477 241,432 120,716 60,358 30,179 90,538 45,269 135,808 67,904 33,952 16,976 8,488

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