48,612,554

2 × 17 × 53² × 509

48,612,554 factors as 2 × 17 × 53^2 × 509. Its 24 positive divisors give a proper-divisor sum of 30,234,466, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2 × 17 × 53^2 × 509

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 78,847,020

Proper Divisor Sum 30,234,466

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #48612533 ← → #48612563

Radix Representation

Decimal	48612554
Binary	10111001011100010011001010 (26 bits)
Octal	0o271342312
Hexadecimal	0x2E5C4CA

Divisor Catalog (24)

Collatz Trajectory (142 steps to reach 1)

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

48,612,554 24,306,277 72,918,832 36,459,416 18,229,708 9,114,854 4,557,427 13,672,282 6,836,141 20,508,424 10,254,212 5,127,106 2,563,553 7,690,660 3,845,330 1,922,665 5,767,996 2,883,998 1,441,999 4,325,998 2,162,999 6,488,998 3,244,499 9,733,498 4,866,749 14,600,248 7,300,124 3,650,062 1,825,031 5,475,094 2,737,547 8,212,642 4,106,321 12,318,964 6,159,482 3,079,741 9,239,224 4,619,612 2,309,806 1,154,903 3,464,710 1,732,355 5,197,066 2,598,533 7,795,600 3,897,800 1,948,900 974,450 487,225 1,461,676 730,838 365,419 1,096,258 548,129 1,644,388 822,194 411,097 1,233,292 616,646 308,323

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