1,252,356

2² × 3 × 7 × 17 × 877

1,252,356 factors as 2^2 × 3 × 7 × 17 × 877. Its 48 positive divisors give a proper-divisor sum of 2,287,740, so this integer is abundant. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 17 × 877

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 3,540,096

Proper Divisor Sum 2,287,740

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1252343 ← → #1252357

Radix Representation

Decimal	1252356
Binary	100110001110000000100 (21 bits)
Octal	0o4616004
Hexadecimal	0x131C04

Divisor Catalog (48)

1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 877 1,428 1,754 2,631 3,508 5,262 6,139 10,524 12,278 14,909 18,417 24,556 29,818 36,834 44,727 59,636 73,668 89,454 104,363 178,908 208,726 313,089 417,452 626,178 1,252,356

Collatz Trajectory (186 steps to reach 1)

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

1,252,356 626,178 313,089 939,268 469,634 234,817 704,452 352,226 176,113 528,340 264,170 132,085 396,256 198,128 99,064 49,532 24,766 12,383 37,150 18,575 55,726 27,863 83,590 41,795 125,386 62,693 188,080 94,040 47,020 23,510 11,755 35,266 17,633 52,900 26,450 13,225 39,676 19,838 9,919 29,758 14,879 44,638 22,319 66,958 33,479 100,438 50,219 150,658 75,329 225,988 112,994 56,497 169,492 84,746 42,373 127,120 63,560 31,780 15,890 7,945

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