48,210,550

2 × 5² × 83 × 11617

48,210,550 factors as 2 × 5^2 × 83 × 11617. Its 24 positive divisors give a proper-divisor sum of 42,549,266, so this integer is deficient. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 83 × 11617

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 90,759,816

Proper Divisor Sum 42,549,266

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #48210523 ← → #48210551

Radix Representation

Decimal	48210550
Binary	10110111111010001001110110 (26 bits)
Octal	0o267721166
Hexadecimal	0x2DFA276

Divisor Catalog (24)

Collatz Trajectory (93 steps to reach 1)

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

48,210,550 24,105,275 72,315,826 36,157,913 108,473,740 54,236,870 27,118,435 81,355,306 40,677,653 122,032,960 61,016,480 30,508,240 15,254,120 7,627,060 3,813,530 1,906,765 5,720,296 2,860,148 1,430,074 715,037 2,145,112 1,072,556 536,278 268,139 804,418 402,209 1,206,628 603,314 301,657 904,972 452,486 226,243 678,730 339,365 1,018,096 509,048 254,524 127,262 63,631 190,894 95,447 286,342 143,171 429,514 214,757 644,272 322,136 161,068 80,534 40,267 120,802 60,401 181,204 90,602 45,301 135,904 67,952 33,976 16,988 8,494

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