48,106,962

2 × 3² × 1447 × 1847

48,106,962 factors as 2 × 3^2 × 1447 × 1847. Its 24 positive divisors give a proper-divisor sum of 56,253,294, so this integer is abundant. The Collatz stopping time is 323 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 1447 × 1847

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 104,360,256

Proper Divisor Sum 56,253,294

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #48106931 ← → #48106967

Radix Representation

Decimal	48106962
Binary	10110111100000110111010010 (26 bits)
Octal	0o267406722
Hexadecimal	0x2DE0DD2

Divisor Catalog (24)

Collatz Trajectory (323 steps to reach 1)

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

48,106,962 24,053,481 72,160,444 36,080,222 18,040,111 54,120,334 27,060,167 81,180,502 40,590,251 121,770,754 60,885,377 182,656,132 91,328,066 45,664,033 136,992,100 68,496,050 34,248,025 102,744,076 51,372,038 25,686,019 77,058,058 38,529,029 115,587,088 57,793,544 28,896,772 14,448,386 7,224,193 21,672,580 10,836,290 5,418,145 16,254,436 8,127,218 4,063,609 12,190,828 6,095,414 3,047,707 9,143,122 4,571,561 13,714,684 6,857,342 3,428,671 10,286,014 5,143,007 15,429,022 7,714,511 23,143,534 11,571,767 34,715,302 17,357,651 52,072,954 26,036,477 78,109,432 39,054,716 19,527,358 9,763,679 29,291,038 14,645,519 43,936,558 21,968,279 65,904,838

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