83,177,740

2² × 5 × 4158887

83,177,740 factors as 2^2 × 5 × 4158887. Its 12 positive divisors give a proper-divisor sum of 91,495,556, so this integer is abundant. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 4158887

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 174,673,296

Proper Divisor Sum 91,495,556

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #83177737 ← → #83177741

Radix Representation

Decimal	83177740
Binary	100111101010011000100001100 (27 bits)
Octal	0o475230414
Hexadecimal	0x4F5310C

Divisor Catalog (12)

1 2 4 5 10 20 4,158,887 8,317,774 16,635,548 20,794,435 41,588,870 83,177,740

Collatz Trajectory (104 steps to reach 1)

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

83,177,740 41,588,870 20,794,435 62,383,306 31,191,653 93,574,960 46,787,480 23,393,740 11,696,870 5,848,435 17,545,306 8,772,653 26,317,960 13,158,980 6,579,490 3,289,745 9,869,236 4,934,618 2,467,309 7,401,928 3,700,964 1,850,482 925,241 2,775,724 1,387,862 693,931 2,081,794 1,040,897 3,122,692 1,561,346 780,673 2,342,020 1,171,010 585,505 1,756,516 878,258 439,129 1,317,388 658,694 329,347 988,042 494,021 1,482,064 741,032 370,516 185,258 92,629 277,888 138,944 69,472 34,736 17,368 8,684 4,342 2,171 6,514 3,257 9,772 4,886 2,443

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #83,177,739 Browse Full Index Next Integer #83,177,741 →