48,407,056

2⁴ × 223 × 13567

48,407,056 factors as 2^4 × 223 × 13567. Its 20 positive divisors give a proper-divisor sum of 45,809,136, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^4 × 223 × 13567

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 94,216,192

Proper Divisor Sum 45,809,136

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #48407033 ← → #48407059

Radix Representation

Decimal	48407056
Binary	10111000101010001000010000 (26 bits)
Octal	0o270521020
Hexadecimal	0x2E2A210

Divisor Catalog (20)

Collatz Trajectory (137 steps to reach 1)

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

48,407,056 24,203,528 12,101,764 6,050,882 3,025,441 9,076,324 4,538,162 2,269,081 6,807,244 3,403,622 1,701,811 5,105,434 2,552,717 7,658,152 3,829,076 1,914,538 957,269 2,871,808 1,435,904 717,952 358,976 179,488 89,744 44,872 22,436 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502 22,751 68,254 34,127 102,382 51,191

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