83,348,512

2⁵ × 13 × 200357

83,348,512 factors as 2^5 × 13 × 200357. Its 24 positive divisors give a proper-divisor sum of 93,367,244, so this integer is abundant. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 2^5 × 13 × 200357

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 176,715,756

Proper Divisor Sum 93,367,244

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #83348477 ← → #83348521

Radix Representation

Decimal	83348512
Binary	100111101111100110000100000 (27 bits)
Octal	0o475746040
Hexadecimal	0x4F7CC20

Divisor Catalog (24)

Collatz Trajectory (130 steps to reach 1)

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

83,348,512 41,674,256 20,837,128 10,418,564 5,209,282 2,604,641 7,813,924 3,906,962 1,953,481 5,860,444 2,930,222 1,465,111 4,395,334 2,197,667 6,593,002 3,296,501 9,889,504 4,944,752 2,472,376 1,236,188 618,094 309,047 927,142 463,571 1,390,714 695,357 2,086,072 1,043,036 521,518 260,759 782,278 391,139 1,173,418 586,709 1,760,128 880,064 440,032 220,016 110,008 55,004 27,502 13,751 41,254 20,627 61,882 30,941 92,824 46,412 23,206 11,603 34,810 17,405 52,216 26,108 13,054 6,527 19,582 9,791 29,374 14,687

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