48,729,868

2² × 11 × 1107497

48,729,868 factors as 2^2 × 11 × 1107497. Its 12 positive divisors give a proper-divisor sum of 44,299,964, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 1107497

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 93,029,832

Proper Divisor Sum 44,299,964

Digit Sum / Digital Root 52 (Root: 7)

Adjacent Primes #48729827 ← → #48729869

Radix Representation

Decimal	48729868
Binary	10111001111000111100001100 (26 bits)
Octal	0o271707414
Hexadecimal	0x2E78F0C

Divisor Catalog (12)

1 2 4 11 22 44 1,107,497 2,214,994 4,429,988 12,182,467 24,364,934 48,729,868

Collatz Trajectory (111 steps to reach 1)

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

48,729,868 24,364,934 12,182,467 36,547,402 18,273,701 54,821,104 27,410,552 13,705,276 6,852,638 3,426,319 10,278,958 5,139,479 15,418,438 7,709,219 23,127,658 11,563,829 34,691,488 17,345,744 8,672,872 4,336,436 2,168,218 1,084,109 3,252,328 1,626,164 813,082 406,541 1,219,624 609,812 304,906 152,453 457,360 228,680 114,340 57,170 28,585 85,756 42,878 21,439 64,318 32,159 96,478 48,239 144,718 72,359 217,078 108,539 325,618 162,809 488,428 244,214 122,107 366,322 183,161 549,484 274,742 137,371 412,114 206,057 618,172 309,086

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