λ
Ratio Atlas
Atlas › Integer Profiles › Node 48,687,736

48,687,736

23 × 127 × 173 × 277
Deficient Even Composite

48,687,736 factors as 2^3 × 127 × 173 × 277. Its 32 positive divisors give a proper-divisor sum of 44,186,504, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^3 × 127 × 173 × 277
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 92,874,240
Proper Divisor Sum 44,186,504
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #48687719 ← → #48687767

Radix Representation

Decimal 48687736
Binary 10111001101110101001111000 (26 bits)
Octal 0o271565170
Hexadecimal 0x2E6EA78

Divisor Catalog (32)

1 2 4 8 127 173 254 277 346 508 554 692 1,016 1,108 1,384 2,216 21,971 35,179 43,942 47,921 70,358 87,884 95,842 140,716 175,768 191,684 281,432 383,368 6,085,967 12,171,934 24,343,868 48,687,736

Collatz Trajectory (173 steps to reach 1)

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

48,687,736 24,343,868 12,171,934 6,085,967 18,257,902 9,128,951 27,386,854 13,693,427 41,080,282 20,540,141 61,620,424 30,810,212 15,405,106 7,702,553 23,107,660 11,553,830 5,776,915 17,330,746 8,665,373 25,996,120 12,998,060 6,499,030 3,249,515 9,748,546 4,874,273 14,622,820 7,311,410 3,655,705 10,967,116 5,483,558 2,741,779 8,225,338 4,112,669 12,338,008 6,169,004 3,084,502 1,542,251 4,626,754 2,313,377 6,940,132 3,470,066 1,735,033 5,205,100 2,602,550 1,301,275 3,903,826 1,951,913 5,855,740 2,927,870 1,463,935 4,391,806 2,195,903 6,587,710 3,293,855 9,881,566 4,940,783 14,822,350 7,411,175 22,233,526 11,116,763

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