4,138,524

2² × 3² × 13 × 37 × 239

4,138,524 factors as 2^2 × 3^2 × 13 × 37 × 239. Its 72 positive divisors give a proper-divisor sum of 7,480,356, so this integer is abundant. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 13 × 37 × 239

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 11,618,880

Proper Divisor Sum 7,480,356

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4138513 ← → #4138529

Radix Representation

Decimal	4138524
Binary	1111110010011000011100 (22 bits)
Octal	0o17623034
Hexadecimal	0x3F261C

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 148 156 222 234 239 333 444 468 478 481 666 717 956 962 1,332 1,434 1,443 1,924 2,151 2,868 2,886 3,107 4,302 4,329 5,772 6,214 8,604 8,658 8,843 9,321 12,428 17,316 17,686 18,642 26,529 27,963 35,372 37,284 53,058 55,926 79,587 106,116

Collatz Trajectory (79 steps to reach 1)

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

4,138,524 2,069,262 1,034,631 3,103,894 1,551,947 4,655,842 2,327,921 6,983,764 3,491,882 1,745,941 5,237,824 2,618,912 1,309,456 654,728 327,364 163,682 81,841 245,524 122,762 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

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,138,523 Browse Full Index Next Integer #4,138,525 →