1,567,044

2² × 3² × 19 × 29 × 79

1,567,044 factors as 2^2 × 3^2 × 19 × 29 × 79. Its 72 positive divisors give a proper-divisor sum of 2,800,956, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 19 × 29 × 79

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 4,368,000

Proper Divisor Sum 2,800,956

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1567039 ← → #1567057

Radix Representation

Decimal	1567044
Binary	101111110100101000100 (21 bits)
Octal	0o5764504
Hexadecimal	0x17E944

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 18 19 29 36 38 57 58 76 79 87 114 116 158 171 174 228 237 261 316 342 348 474 522 551 684 711 948 1,044 1,102 1,422 1,501 1,653 2,204 2,291 2,844 3,002 3,306 4,503 4,582 4,959 6,004 6,612 6,873 9,006 9,164 9,918 13,509 13,746 18,012 19,836 20,619 27,018 27,492

Collatz Trajectory (132 steps to reach 1)

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

1,567,044 783,522 391,761 1,175,284 587,642 293,821 881,464 440,732 220,366 110,183 330,550 165,275 495,826 247,913 743,740 371,870 185,935 557,806 278,903 836,710 418,355 1,255,066 627,533 1,882,600 941,300 470,650 235,325 705,976 352,988 176,494 88,247 264,742 132,371 397,114 198,557 595,672 297,836 148,918 74,459 223,378 111,689 335,068 167,534 83,767 251,302 125,651 376,954 188,477 565,432 282,716 141,358 70,679 212,038 106,019 318,058 159,029 477,088 238,544 119,272 59,636

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