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Atlas › Integer Profiles › Node 3,664,045

3,664,045

5 × 7 × 11 × 31 × 307
Deficient Odd Composite

3,664,045 factors as 5 × 7 × 11 × 31 × 307. Its 32 positive divisors give a proper-divisor sum of 2,013,011, so this integer is deficient. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 5 × 7 × 11 × 31 × 307
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,677,056
Proper Divisor Sum 2,013,011
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3664043 ← → #3664057

Radix Representation

Decimal 3664045
Binary 1101111110100010101101 (22 bits)
Octal 0o15764255
Hexadecimal 0x37E8AD

Divisor Catalog (32)

1 5 7 11 31 35 55 77 155 217 307 341 385 1,085 1,535 1,705 2,149 2,387 3,377 9,517 10,745 11,935 16,885 23,639 47,585 66,619 104,687 118,195 333,095 523,435 732,809 3,664,045

Collatz Trajectory (97 steps to reach 1)

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

3,664,045 10,992,136 5,496,068 2,748,034 1,374,017 4,122,052 2,061,026 1,030,513 3,091,540 1,545,770 772,885 2,318,656 1,159,328 579,664 289,832 144,916 72,458 36,229 108,688 54,344 27,172 13,586 6,793 20,380 10,190 5,095 15,286 7,643 22,930 11,465 34,396 17,198 8,599 25,798 12,899 38,698 19,349 58,048 29,024 14,512 7,256 3,628 1,814 907 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886

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