48,130,064

2⁴ × 41 × 73369

48,130,064 factors as 2^4 × 41 × 73369. Its 20 positive divisors give a proper-divisor sum of 47,397,676, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^4 × 41 × 73369

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 95,527,740

Proper Divisor Sum 47,397,676

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #48130063 ← → #48130067

Radix Representation

Decimal	48130064
Binary	10110111100110100000010000 (26 bits)
Octal	0o267464020
Hexadecimal	0x2DE6810

Divisor Catalog (20)

Collatz Trajectory (186 steps to reach 1)

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

48,130,064 24,065,032 12,032,516 6,016,258 3,008,129 9,024,388 4,512,194 2,256,097 6,768,292 3,384,146 1,692,073 5,076,220 2,538,110 1,269,055 3,807,166 1,903,583 5,710,750 2,855,375 8,566,126 4,283,063 12,849,190 6,424,595 19,273,786 9,636,893 28,910,680 14,455,340 7,227,670 3,613,835 10,841,506 5,420,753 16,262,260 8,131,130 4,065,565 12,196,696 6,098,348 3,049,174 1,524,587 4,573,762 2,286,881 6,860,644 3,430,322 1,715,161 5,145,484 2,572,742 1,286,371 3,859,114 1,929,557 5,788,672 2,894,336 1,447,168 723,584 361,792 180,896 90,448 45,224 22,612 11,306 5,653 16,960 8,480

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