48,106,965

3 × 5 × 127 × 25253

48,106,965 factors as 3 × 5 × 127 × 25253. Its 16 positive divisors give a proper-divisor sum of 29,473,323, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 3 × 5 × 127 × 25253

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 77,580,288

Proper Divisor Sum 29,473,323

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #48106931 ← → #48106967

Radix Representation

Decimal	48106965
Binary	10110111100000110111010101 (26 bits)
Octal	0o267406725
Hexadecimal	0x2DE0DD5

Divisor Catalog (16)

1 3 5 15 127 381 635 1,905 25,253 75,759 126,265 378,795 3,207,131 9,621,393 16,035,655 48,106,965

Collatz Trajectory (168 steps to reach 1)

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

48,106,965 144,320,896 72,160,448 36,080,224 18,040,112 9,020,056 4,510,028 2,255,014 1,127,507 3,382,522 1,691,261 5,073,784 2,536,892 1,268,446 634,223 1,902,670 951,335 2,854,006 1,427,003 4,281,010 2,140,505 6,421,516 3,210,758 1,605,379 4,816,138 2,408,069 7,224,208 3,612,104 1,806,052 903,026 451,513 1,354,540 677,270 338,635 1,015,906 507,953 1,523,860 761,930 380,965 1,142,896 571,448 285,724 142,862 71,431 214,294 107,147 321,442 160,721 482,164 241,082 120,541 361,624 180,812 90,406 45,203 135,610 67,805 203,416 101,708 50,854

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