918,684

2² × 3² × 13² × 151

918,684 has digital root 9. The neighboring primes are 918683 and 918733; its proper-divisor sum differs from the starting integer by 693,888.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 13^2 × 151

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 54

Divisor Sum (σ) 2,531,256

Proper Divisor Sum 1,612,572

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #918683 ← → #918733

Radix Representation

Decimal	918684
Binary	11100000010010011100 (20 bits)
Octal	0o3402234
Hexadecimal	0xE049C

Divisor Catalog (54)

1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 151 156 169 234 302 338 453 468 507 604 676 906 1,014 1,359 1,521 1,812 1,963 2,028 2,718 3,042 3,926 5,436 5,889 6,084 7,852 11,778 17,667 23,556 25,519 35,334 51,038 70,668 76,557 102,076 153,114 229,671 306,228 459,342 918,684

Collatz Trajectory (201 steps to reach 1)

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

918,684 459,342 229,671 689,014 344,507 1,033,522 516,761 1,550,284 775,142 387,571 1,162,714 581,357 1,744,072 872,036 436,018 218,009 654,028 327,014 163,507 490,522 245,261 735,784 367,892 183,946 91,973 275,920 137,960 68,980 34,490 17,245 51,736 25,868 12,934 6,467 19,402 9,701 29,104 14,552 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991

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