456,473

151 × 3023

456,473 factors as 151 × 3023. Its 4 positive divisors give a proper-divisor sum of 3,175, so this integer is deficient. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 151 × 3023

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 459,648

Proper Divisor Sum 3,175

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #456461 ← → #456499

Radix Representation

Decimal	456473
Binary	1101111011100011001 (19 bits)
Octal	0o1573431
Hexadecimal	0x6F719

Divisor Catalog (4)

1 151 3,023 456,473

Collatz Trajectory (112 steps to reach 1)

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

456,473 1,369,420 684,710 342,355 1,027,066 513,533 1,540,600 770,300 385,150 192,575 577,726 288,863 866,590 433,295 1,299,886 649,943 1,949,830 974,915 2,924,746 1,462,373 4,387,120 2,193,560 1,096,780 548,390 274,195 822,586 411,293 1,233,880 616,940 308,470 154,235 462,706 231,353 694,060 347,030 173,515 520,546 260,273 780,820 390,410 195,205 585,616 292,808 146,404 73,202 36,601 109,804 54,902 27,451 82,354 41,177 123,532 61,766 30,883 92,650 46,325 138,976 69,488 34,744 17,372

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