407,073

3 × 29 × 4679

For 407,073, the 8 positive divisors have a total of 561,600. Removing 407,073 leaves 154,527, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 29 × 4679

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 561,600

Proper Divisor Sum 154,527

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #407059 ← → #407083

Radix Representation

Decimal	407073
Binary	1100011011000100001 (19 bits)
Octal	0o1433041
Hexadecimal	0x63621

Divisor Catalog (8)

1 3 29 87 4,679 14,037 135,691 407,073

Collatz Trajectory (60 steps to reach 1)

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

407,073 1,221,220 610,610 305,305 915,916 457,958 228,979 686,938 343,469 1,030,408 515,204 257,602 128,801 386,404 193,202 96,601 289,804 144,902 72,451 217,354 108,677 326,032 163,016 81,508 40,754 20,377 61,132 30,566 15,283 45,850 22,925 68,776 34,388 17,194 8,597 25,792 12,896 6,448 3,224 1,612 806 403 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2

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