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Atlas › Integer Profiles › Node 48,551,232

48,551,232

26 × 3 × 19 × 13309
Abundant Even Composite

48,551,232 factors as 2^6 × 3 × 19 × 13309. Its 56 positive divisors give a proper-divisor sum of 86,678,368, so this integer is abundant. The Collatz stopping time is 49 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 19 × 13309
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 135,229,600
Proper Divisor Sum 86,678,368
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #48551231 ← → #48551281

Radix Representation

Decimal 48551232
Binary 10111001001101010101000000 (26 bits)
Octal 0o271152500
Hexadecimal 0x2E4D540

Divisor Catalog (56)

1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1,216 1,824 3,648 13,309 26,618 39,927 53,236 79,854 106,472 159,708 212,944 252,871 319,416 425,888 505,742 638,832 758,613 851,776 1,011,484 1,277,664 1,517,226 2,022,968 2,555,328 3,034,452 4,045,936 6,068,904 8,091,872 12,137,808 16,183,744 24,275,616 48,551,232

Collatz Trajectory (49 steps to reach 1)

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

48,551,232 24,275,616 12,137,808 6,068,904 3,034,452 1,517,226 758,613 2,275,840 1,137,920 568,960 284,480 142,240 71,120 35,560 17,780 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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