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Atlas › Integer Profiles › Node 48,549,822

48,549,822

2 × 3 × 41 × 151 × 1307
Abundant Even Composite

48,549,822 factors as 2 × 3 × 41 × 151 × 1307. Its 32 positive divisors give a proper-divisor sum of 51,653,442, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2 × 3 × 41 × 151 × 1307
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 100,203,264
Proper Divisor Sum 51,653,442
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #48549817 ← → #48549827

Radix Representation

Decimal 48549822
Binary 10111001001100111110111110 (26 bits)
Octal 0o271147676
Hexadecimal 0x2E4CFBE

Divisor Catalog (32)

1 2 3 6 41 82 123 151 246 302 453 906 1,307 2,614 3,921 6,191 7,842 12,382 18,573 37,146 53,587 107,174 160,761 197,357 321,522 394,714 592,071 1,184,142 8,091,637 16,183,274 24,274,911 48,549,822

Collatz Trajectory (111 steps to reach 1)

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

48,549,822 24,274,911 72,824,734 36,412,367 109,237,102 54,618,551 163,855,654 81,927,827 245,783,482 122,891,741 368,675,224 184,337,612 92,168,806 46,084,403 138,253,210 69,126,605 207,379,816 103,689,908 51,844,954 25,922,477 77,767,432 38,883,716 19,441,858 9,720,929 29,162,788 14,581,394 7,290,697 21,872,092 10,936,046 5,468,023 16,404,070 8,202,035 24,606,106 12,303,053 36,909,160 18,454,580 9,227,290 4,613,645 13,840,936 6,920,468 3,460,234 1,730,117 5,190,352 2,595,176 1,297,588 648,794 324,397 973,192 486,596 243,298 121,649 364,948 182,474 91,237 273,712 136,856 68,428 34,214 17,107 51,322

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