λ
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Atlas › Integer Profiles › Node 97,375,472

97,375,472

24 × 127 × 173 × 277
Deficient Even Composite

97,375,472 factors as 2^4 × 127 × 173 × 277. Its 40 positive divisors give a proper-divisor sum of 94,564,624, so this integer is deficient. The Collatz stopping time is 174 steps.

Prime Factor Structure

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

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 191,940,096
Proper Divisor Sum 94,564,624
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #97375471 ← → #97375483

Radix Representation

Decimal 97375472
Binary 101110011011101010011110000 (27 bits)
Octal 0o563352360
Hexadecimal 0x5CDD4F0

Divisor Catalog (40)

1 2 4 8 16 127 173 254 277 346 508 554 692 1,016 1,108 1,384 2,032 2,216 2,768 4,432 21,971 35,179 43,942 47,921 70,358 87,884 95,842 140,716 175,768 191,684 281,432 351,536 383,368 562,864 766,736 6,085,967 12,171,934 24,343,868 48,687,736 97,375,472

Collatz Trajectory (174 steps to reach 1)

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

97,375,472 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

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