473,002

2 × 71 × 3331

473,002 factors as 2 × 71 × 3331. Its 8 positive divisors give a proper-divisor sum of 246,710, so this integer is deficient. The Collatz stopping time is 213 steps.

Prime Factor Structure

Factorization String 2 × 71 × 3331

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 719,712

Proper Divisor Sum 246,710

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #472993 ← → #473009

Radix Representation

Decimal	473002
Binary	1110011011110101010 (19 bits)
Octal	0o1633652
Hexadecimal	0x737AA

Divisor Catalog (8)

1 2 71 142 3,331 6,662 236,501 473,002

Collatz Trajectory (213 steps to reach 1)

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

473,002 236,501 709,504 354,752 177,376 88,688 44,344 22,172 11,086 5,543 16,630 8,315 24,946 12,473 37,420 18,710 9,355 28,066 14,033 42,100 21,050 10,525 31,576 15,788 7,894 3,947 11,842 5,921 17,764 8,882 4,441 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007

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