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Atlas › Integer Profiles › Node 3,676,690

3,676,690

2 × 5 × 19 × 37 × 523
Deficient Even Composite

3,676,690 factors as 2 × 5 × 19 × 37 × 523. Its 32 positive divisors give a proper-divisor sum of 3,491,630, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2 × 5 × 19 × 37 × 523
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,168,320
Proper Divisor Sum 3,491,630
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3676667 ← → #3676721

Radix Representation

Decimal 3676690
Binary 1110000001101000010010 (22 bits)
Octal 0o16015022
Hexadecimal 0x381A12

Divisor Catalog (32)

1 2 5 10 19 37 38 74 95 185 190 370 523 703 1,046 1,406 2,615 3,515 5,230 7,030 9,937 19,351 19,874 38,702 49,685 96,755 99,370 193,510 367,669 735,338 1,838,345 3,676,690

Collatz Trajectory (172 steps to reach 1)

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

3,676,690 1,838,345 5,515,036 2,757,518 1,378,759 4,136,278 2,068,139 6,204,418 3,102,209 9,306,628 4,653,314 2,326,657 6,979,972 3,489,986 1,744,993 5,234,980 2,617,490 1,308,745 3,926,236 1,963,118 981,559 2,944,678 1,472,339 4,417,018 2,208,509 6,625,528 3,312,764 1,656,382 828,191 2,484,574 1,242,287 3,726,862 1,863,431 5,590,294 2,795,147 8,385,442 4,192,721 12,578,164 6,289,082 3,144,541 9,433,624 4,716,812 2,358,406 1,179,203 3,537,610 1,768,805 5,306,416 2,653,208 1,326,604 663,302 331,651 994,954 497,477 1,492,432 746,216 373,108 186,554 93,277 279,832 139,916

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