λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,966,568

36,966,568

23 × 172 × 59 × 271
Abundant Even Composite

36,966,568 factors as 2^3 × 17^2 × 59 × 271. Its 48 positive divisors give a proper-divisor sum of 38,187,032, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^3 × 17^2 × 59 × 271
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 75,153,600
Proper Divisor Sum 38,187,032
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #36966563 ← → #36966569

Radix Representation

Decimal 36966568
Binary 10001101000001000010101000 (26 bits)
Octal 0o215010250
Hexadecimal 0x23410A8

Divisor Catalog (48)

1 2 4 8 17 34 59 68 118 136 236 271 289 472 542 578 1,003 1,084 1,156 2,006 2,168 2,312 4,012 4,607 8,024 9,214 15,989 17,051 18,428 31,978 34,102 36,856 63,956 68,204 78,319 127,912 136,408 156,638 271,813 313,276 543,626 626,552 1,087,252 2,174,504 4,620,821 9,241,642 18,483,284 36,966,568

Collatz Trajectory (152 steps to reach 1)

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

36,966,568 18,483,284 9,241,642 4,620,821 13,862,464 6,931,232 3,465,616 1,732,808 866,404 433,202 216,601 649,804 324,902 162,451 487,354 243,677 731,032 365,516 182,758 91,379 274,138 137,069 411,208 205,604 102,802 51,401 154,204 77,102 38,551 115,654 57,827 173,482 86,741 260,224 130,112 65,056 32,528 16,264 8,132 4,066 2,033 6,100 3,050 1,525 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #36,966,567 Browse Full Index Next Integer #36,966,569 →