48,419,084

2² × 7 × 1729253

48,419,084 factors as 2^2 × 7 × 1729253. Its 12 positive divisors give a proper-divisor sum of 48,419,140, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 1729253

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 96,838,224

Proper Divisor Sum 48,419,140

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #48419083 ← → #48419093

Radix Representation

Decimal	48419084
Binary	10111000101101000100001100 (26 bits)
Octal	0o270550414
Hexadecimal	0x2E2D10C

Divisor Catalog (12)

1 2 4 7 14 28 1,729,253 3,458,506 6,917,012 12,104,771 24,209,542 48,419,084

Collatz Trajectory (137 steps to reach 1)

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

48,419,084 24,209,542 12,104,771 36,314,314 18,157,157 54,471,472 27,235,736 13,617,868 6,808,934 3,404,467 10,213,402 5,106,701 15,320,104 7,660,052 3,830,026 1,915,013 5,745,040 2,872,520 1,436,260 718,130 359,065 1,077,196 538,598 269,299 807,898 403,949 1,211,848 605,924 302,962 151,481 454,444 227,222 113,611 340,834 170,417 511,252 255,626 127,813 383,440 191,720 95,860 47,930 23,965 71,896 35,948 17,974 8,987 26,962 13,481 40,444 20,222 10,111 30,334 15,167 45,502 22,751 68,254 34,127 102,382 51,191

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