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Atlas › Integer Profiles › Node 3,672,830

3,672,830

2 × 5 × 7 × 71 × 739
Abundant Even Composite

3,672,830 factors as 2 × 5 × 7 × 71 × 739. Its 32 positive divisors give a proper-divisor sum of 3,999,490, so this integer is abundant. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 71 × 739
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,672,320
Proper Divisor Sum 3,999,490
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3672829 ← → #3672853

Radix Representation

Decimal 3672830
Binary 1110000000101011111110 (22 bits)
Octal 0o16005376
Hexadecimal 0x380AFE

Divisor Catalog (32)

1 2 5 7 10 14 35 70 71 142 355 497 710 739 994 1,478 2,485 3,695 4,970 5,173 7,390 10,346 25,865 51,730 52,469 104,938 262,345 367,283 524,690 734,566 1,836,415 3,672,830

Collatz Trajectory (159 steps to reach 1)

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

3,672,830 1,836,415 5,509,246 2,754,623 8,263,870 4,131,935 12,395,806 6,197,903 18,593,710 9,296,855 27,890,566 13,945,283 41,835,850 20,917,925 62,753,776 31,376,888 15,688,444 7,844,222 3,922,111 11,766,334 5,883,167 17,649,502 8,824,751 26,474,254 13,237,127 39,711,382 19,855,691 59,567,074 29,783,537 89,350,612 44,675,306 22,337,653 67,012,960 33,506,480 16,753,240 8,376,620 4,188,310 2,094,155 6,282,466 3,141,233 9,423,700 4,711,850 2,355,925 7,067,776 3,533,888 1,766,944 883,472 441,736 220,868 110,434 55,217 165,652 82,826 41,413 124,240 62,120 31,060 15,530 7,765 23,296

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