412,998

2 × 3 × 17 × 4049

For 412,998, the 16 positive divisors have a total of 874,800. Removing 412,998 leaves 461,802, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 4049

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 874,800

Proper Divisor Sum 461,802

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #412987 ← → #413009

Radix Representation

Decimal	412998
Binary	1100100110101000110 (19 bits)
Octal	0o1446506
Hexadecimal	0x64D46

Divisor Catalog (16)

1 2 3 6 17 34 51 102 4,049 8,098 12,147 24,294 68,833 137,666 206,499 412,998

Collatz Trajectory (174 steps to reach 1)

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

412,998 206,499 619,498 309,749 929,248 464,624 232,312 116,156 58,078 29,039 87,118 43,559 130,678 65,339 196,018 98,009 294,028 147,014 73,507 220,522 110,261 330,784 165,392 82,696 41,348 20,674 10,337 31,012 15,506 7,753 23,260 11,630 5,815 17,446 8,723 26,170 13,085 39,256 19,628 9,814 4,907 14,722 7,361 22,084 11,042 5,521 16,564 8,282 4,141 12,424 6,212 3,106 1,553 4,660 2,330 1,165 3,496 1,748 874 437

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