404,672

2⁶ × 6323

404,672 has digital root 5. The neighboring primes are 404671 and 404693; its proper-divisor sum differs from the starting integer by -6,196.

Prime Factor Structure

Factorization String 2^6 × 6323

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 803,148

Proper Divisor Sum 398,476

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #404671 ← → #404693

Radix Representation

Decimal	404672
Binary	1100010110011000000 (19 bits)
Octal	0o1426300
Hexadecimal	0x62CC0

Divisor Catalog (14)

1 2 4 8 16 32 64 6,323 12,646 25,292 50,584 101,168 202,336 404,672

Collatz Trajectory (161 steps to reach 1)

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

404,672 202,336 101,168 50,584 25,292 12,646 6,323 18,970 9,485 28,456 14,228 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430

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