λ
Ratio Atlas
Atlas › Integer Profiles › Node 13,655,744

13,655,744

26 × 23 × 9277
Abundant Even Composite

13,655,744 factors as 2^6 × 23 × 9277. Its 28 positive divisors give a proper-divisor sum of 14,623,600, so this integer is abundant. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 2^6 × 23 × 9277
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 28,279,344
Proper Divisor Sum 14,623,600
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #13655729 ← → #13655753

Radix Representation

Decimal 13655744
Binary 110100000101111011000000 (24 bits)
Octal 0o64057300
Hexadecimal 0xD05EC0

Divisor Catalog (28)

1 2 4 8 16 23 32 46 64 92 184 368 736 1,472 9,277 18,554 37,108 74,216 148,432 213,371 296,864 426,742 593,728 853,484 1,706,968 3,413,936 6,827,872 13,655,744

Collatz Trajectory (130 steps to reach 1)

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

13,655,744 6,827,872 3,413,936 1,706,968 853,484 426,742 213,371 640,114 320,057 960,172 480,086 240,043 720,130 360,065 1,080,196 540,098 270,049 810,148 405,074 202,537 607,612 303,806 151,903 455,710 227,855 683,566 341,783 1,025,350 512,675 1,538,026 769,013 2,307,040 1,153,520 576,760 288,380 144,190 72,095 216,286 108,143 324,430 162,215 486,646 243,323 729,970 364,985 1,094,956 547,478 273,739 821,218 410,609 1,231,828 615,914 307,957 923,872 461,936 230,968 115,484 57,742 28,871 86,614

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #13,655,743 Browse Full Index Next Integer #13,655,745 →