456,645

3 × 5 × 7 × 4349

456,645 factors as 3 × 5 × 7 × 4349. Its 16 positive divisors give a proper-divisor sum of 378,555, so this integer is deficient. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 4349

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 835,200

Proper Divisor Sum 378,555

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #456641 ← → #456647

Radix Representation

Decimal	456645
Binary	1101111011111000101 (19 bits)
Octal	0o1573705
Hexadecimal	0x6F7C5

Divisor Catalog (16)

1 3 5 7 15 21 35 105 4,349 13,047 21,745 30,443 65,235 91,329 152,215 456,645

Collatz Trajectory (200 steps to reach 1)

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

456,645 1,369,936 684,968 342,484 171,242 85,621 256,864 128,432 64,216 32,108 16,054 8,027 24,082 12,041 36,124 18,062 9,031 27,094 13,547 40,642 20,321 60,964 30,482 15,241 45,724 22,862 11,431 34,294 17,147 51,442 25,721 77,164 38,582 19,291 57,874 28,937 86,812 43,406 21,703 65,110 32,555 97,666 48,833 146,500 73,250 36,625 109,876 54,938 27,469 82,408 41,204 20,602 10,301 30,904 15,452 7,726 3,863 11,590 5,795 17,386

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