4,138,512

2⁴ × 3 × 7 × 109 × 113

4,138,512 factors as 2^4 × 3 × 7 × 109 × 113. Its 80 positive divisors give a proper-divisor sum of 8,301,168, so this integer is abundant. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 109 × 113

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 12,439,680

Proper Divisor Sum 8,301,168

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4138507 ← → #4138513

Radix Representation

Decimal	4138512
Binary	1111110010011000010000 (22 bits)
Octal	0o17623020
Hexadecimal	0x3F2610

Divisor Catalog (60 of 80)

1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 109 112 113 168 218 226 327 336 339 436 452 654 678 763 791 872 904 1,308 1,356 1,526 1,582 1,744 1,808 2,289 2,373 2,616 2,712 3,052 3,164 4,578 4,746 5,232 5,424 6,104 6,328 9,156 9,492 12,208 12,317 12,656 18,312 18,984 24,634

Collatz Trajectory (79 steps to reach 1)

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

4,138,512 2,069,256 1,034,628 517,314 258,657 775,972 387,986 193,993 581,980 290,990 145,495 436,486 218,243 654,730 327,365 982,096 491,048 245,524 122,762 61,381 184,144 92,072 46,036 23,018 11,509 34,528 17,264 8,632 4,316 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122

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