48,944,992

2⁵ × 1529531

48,944,992 factors as 2^5 × 1529531. Its 12 positive divisors give a proper-divisor sum of 47,415,524, so this integer is deficient. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^5 × 1529531

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 96,360,516

Proper Divisor Sum 47,415,524

Digit Sum / Digital Root 49 (Root: 4)

Adjacent Primes #48944981 ← → #48944999

Radix Representation

Decimal	48944992
Binary	10111010101101011101100000 (26 bits)
Octal	0o272553540
Hexadecimal	0x2EAD760

Divisor Catalog (12)

1 2 4 8 16 32 1,529,531 3,059,062 6,118,124 12,236,248 24,472,496 48,944,992

Collatz Trajectory (106 steps to reach 1)

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

48,944,992 24,472,496 12,236,248 6,118,124 3,059,062 1,529,531 4,588,594 2,294,297 6,882,892 3,441,446 1,720,723 5,162,170 2,581,085 7,743,256 3,871,628 1,935,814 967,907 2,903,722 1,451,861 4,355,584 2,177,792 1,088,896 544,448 272,224 136,112 68,056 34,028 17,014 8,507 25,522 12,761 38,284 19,142 9,571 28,714 14,357 43,072 21,536 10,768 5,384 2,692 1,346 673 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444

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