3,633,462

2 × 3² × 7 × 28837

3,633,462 has digital root 9. The neighboring primes are 3633449 and 3633499; its proper-divisor sum differs from the starting integer by 1,730,532.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 28837

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,997,456

Proper Divisor Sum 5,363,994

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3633449 ← → #3633499

Radix Representation

Decimal	3633462
Binary	1101110111000100110110 (22 bits)
Octal	0o15670466
Hexadecimal	0x377136

Divisor Catalog (24)

1 2 3 6 7 9 14 18 21 42 63 126 28,837 57,674 86,511 173,022 201,859 259,533 403,718 519,066 605,577 1,211,154 1,816,731 3,633,462

Collatz Trajectory (203 steps to reach 1)

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

3,633,462 1,816,731 5,450,194 2,725,097 8,175,292 4,087,646 2,043,823 6,131,470 3,065,735 9,197,206 4,598,603 13,795,810 6,897,905 20,693,716 10,346,858 5,173,429 15,520,288 7,760,144 3,880,072 1,940,036 970,018 485,009 1,455,028 727,514 363,757 1,091,272 545,636 272,818 136,409 409,228 204,614 102,307 306,922 153,461 460,384 230,192 115,096 57,548 28,774 14,387 43,162 21,581 64,744 32,372 16,186 8,093 24,280 12,140 6,070 3,035 9,106 4,553 13,660 6,830 3,415 10,246 5,123 15,370 7,685 23,056

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