407,867

31 × 59 × 223

For 407,867, the 8 positive divisors have a total of 430,080. Removing 407,867 leaves 22,213, which gives the deficient classification.

Prime Factor Structure

Factorization String 31 × 59 × 223

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 430,080

Proper Divisor Sum 22,213

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #407861 ← → #407879

Radix Representation

Decimal	407867
Binary	1100011100100111011 (19 bits)
Octal	0o1434473
Hexadecimal	0x6393B

Divisor Catalog (8)

1 31 59 223 1,829 6,913 13,157 407,867

Collatz Trajectory (112 steps to reach 1)

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

407,867 1,223,602 611,801 1,835,404 917,702 458,851 1,376,554 688,277 2,064,832 1,032,416 516,208 258,104 129,052 64,526 32,263 96,790 48,395 145,186 72,593 217,780 108,890 54,445 163,336 81,668 40,834 20,417 61,252 30,626 15,313 45,940 22,970 11,485 34,456 17,228 8,614 4,307 12,922 6,461 19,384 9,692 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591

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