λ
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Atlas › Integer Profiles › Node 3,184,510

3,184,510

2 × 5 × 72 × 67 × 97
Abundant Even Composite

3,184,510 factors as 2 × 5 × 7^2 × 67 × 97. Its 48 positive divisors give a proper-divisor sum of 3,652,754, so this integer is abundant. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 67 × 97
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,837,264
Proper Divisor Sum 3,652,754
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3184501 ← → #3184513

Radix Representation

Decimal 3184510
Binary 1100001001011101111110 (22 bits)
Octal 0o14113576
Hexadecimal 0x30977E

Divisor Catalog (48)

1 2 5 7 10 14 35 49 67 70 97 98 134 194 245 335 469 485 490 670 679 938 970 1,358 2,345 3,283 3,395 4,690 4,753 6,499 6,566 6,790 9,506 12,998 16,415 23,765 32,495 32,830 45,493 47,530 64,990 90,986 227,465 318,451 454,930 636,902 1,592,255 3,184,510

Collatz Trajectory (146 steps to reach 1)

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

3,184,510 1,592,255 4,776,766 2,388,383 7,165,150 3,582,575 10,747,726 5,373,863 16,121,590 8,060,795 24,182,386 12,091,193 36,273,580 18,136,790 9,068,395 27,205,186 13,602,593 40,807,780 20,403,890 10,201,945 30,605,836 15,302,918 7,651,459 22,954,378 11,477,189 34,431,568 17,215,784 8,607,892 4,303,946 2,151,973 6,455,920 3,227,960 1,613,980 806,990 403,495 1,210,486 605,243 1,815,730 907,865 2,723,596 1,361,798 680,899 2,042,698 1,021,349 3,064,048 1,532,024 766,012 383,006 191,503 574,510 287,255 861,766 430,883 1,292,650 646,325 1,938,976 969,488 484,744 242,372 121,186

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