λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,775,764

36,775,764

22 × 32 × 67 × 79 × 193
Abundant Even Composite

36,775,764 factors as 2^2 × 3^2 × 67 × 79 × 193. Its 72 positive divisors give a proper-divisor sum of 59,261,996, so this integer is abundant. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 67 × 79 × 193
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 96,037,760
Proper Divisor Sum 59,261,996
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #36775751 ← → #36775769

Radix Representation

Decimal 36775764
Binary 10001100010010011101010100 (26 bits)
Octal 0o214223524
Hexadecimal 0x2312754

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 18 36 67 79 134 158 193 201 237 268 316 386 402 474 579 603 711 772 804 948 1,158 1,206 1,422 1,737 2,316 2,412 2,844 3,474 5,293 6,948 10,586 12,931 15,247 15,879 21,172 25,862 30,494 31,758 38,793 45,741 47,637 51,724 60,988 63,516 77,586 91,482 95,274 116,379 137,223 155,172 182,964 190,548 232,758

Collatz Trajectory (227 steps to reach 1)

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

36,775,764 18,387,882 9,193,941 27,581,824 13,790,912 6,895,456 3,447,728 1,723,864 861,932 430,966 215,483 646,450 323,225 969,676 484,838 242,419 727,258 363,629 1,090,888 545,444 272,722 136,361 409,084 204,542 102,271 306,814 153,407 460,222 230,111 690,334 345,167 1,035,502 517,751 1,553,254 776,627 2,329,882 1,164,941 3,494,824 1,747,412 873,706 436,853 1,310,560 655,280 327,640 163,820 81,910 40,955 122,866 61,433 184,300 92,150 46,075 138,226 69,113 207,340 103,670 51,835 155,506 77,753 233,260

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #36,775,763 Browse Full Index Next Integer #36,775,765 →