407,104

2⁶ × 6361

For 407,104, the 14 positive divisors have a total of 807,974. Removing 407,104 leaves 400,870, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^6 × 6361

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 807,974

Proper Divisor Sum 400,870

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #407083 ← → #407119

Radix Representation

Decimal	407104
Binary	1100011011001000000 (19 bits)
Octal	0o1433100
Hexadecimal	0x63640

Divisor Catalog (14)

1 2 4 8 16 32 64 6,361 12,722 25,444 50,888 101,776 203,552 407,104

Collatz Trajectory (112 steps to reach 1)

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

407,104 203,552 101,776 50,888 25,444 12,722 6,361 19,084 9,542 4,771 14,314 7,157 21,472 10,736 5,368 2,684 1,342 671 2,014 1,007 3,022 1,511 4,534 2,267 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 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

← Previous Integer #407,103 Browse Full Index Next Integer #407,105 →