λ
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1,113,636

22 × 3 × 17 × 53 × 103
Abundant Even Composite

1,113,636 factors as 2^2 × 3 × 17 × 53 × 103. Its 48 positive divisors give a proper-divisor sum of 1,716,828, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 53 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,830,464
Proper Divisor Sum 1,716,828
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1113617 ← → #1113643

Radix Representation

Decimal 1113636
Binary 100001111111000100100 (21 bits)
Octal 0o4177044
Hexadecimal 0x10FE24

Divisor Catalog (48)

1 2 3 4 6 12 17 34 51 53 68 102 103 106 159 204 206 212 309 318 412 618 636 901 1,236 1,751 1,802 2,703 3,502 3,604 5,253 5,406 5,459 7,004 10,506 10,812 10,918 16,377 21,012 21,836 32,754 65,508 92,803 185,606 278,409 371,212 556,818 1,113,636

Collatz Trajectory (178 steps to reach 1)

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

1,113,636 556,818 278,409 835,228 417,614 208,807 626,422 313,211 939,634 469,817 1,409,452 704,726 352,363 1,057,090 528,545 1,585,636 792,818 396,409 1,189,228 594,614 297,307 891,922 445,961 1,337,884 668,942 334,471 1,003,414 501,707 1,505,122 752,561 2,257,684 1,128,842 564,421 1,693,264 846,632 423,316 211,658 105,829 317,488 158,744 79,372 39,686 19,843 59,530 29,765 89,296 44,648 22,324 11,162 5,581 16,744 8,372 4,186 2,093 6,280 3,140 1,570 785 2,356 1,178

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