48,211,564

2² × 167 × 72173

48,211,564 factors as 2^2 × 167 × 72173. Its 12 positive divisors give a proper-divisor sum of 36,665,060, so this integer is deficient. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 2^2 × 167 × 72173

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 84,876,624

Proper Divisor Sum 36,665,060

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #48211549 ← → #48211571

Radix Representation

Decimal	48211564
Binary	10110111111010011001101100 (26 bits)
Octal	0o267723154
Hexadecimal	0x2DFA66C

Divisor Catalog (12)

1 2 4 167 334 668 72,173 144,346 288,692 12,052,891 24,105,782 48,211,564

Collatz Trajectory (230 steps to reach 1)

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

48,211,564 24,105,782 12,052,891 36,158,674 18,079,337 54,238,012 27,119,006 13,559,503 40,678,510 20,339,255 61,017,766 30,508,883 91,526,650 45,763,325 137,289,976 68,644,988 34,322,494 17,161,247 51,483,742 25,741,871 77,225,614 38,612,807 115,838,422 57,919,211 173,757,634 86,878,817 260,636,452 130,318,226 65,159,113 195,477,340 97,738,670 48,869,335 146,608,006 73,304,003 219,912,010 109,956,005 329,868,016 164,934,008 82,467,004 41,233,502 20,616,751 61,850,254 30,925,127 92,775,382 46,387,691 139,163,074 69,581,537 208,744,612 104,372,306 52,186,153 156,558,460 78,279,230 39,139,615 117,418,846 58,709,423 176,128,270 88,064,135 264,192,406 132,096,203 396,288,610

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