999,012

2² × 3 × 7² × 1699

999,012 has digital root 3. The neighboring primes are 999007 and 999023; its proper-divisor sum differs from the starting integer by 715,176.

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 1699

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 2,713,200

Proper Divisor Sum 1,714,188

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #999007 ← → #999023

Radix Representation

Decimal	999012
Binary	11110011111001100100 (20 bits)
Octal	0o3637144
Hexadecimal	0xF3E64

Divisor Catalog (36)

1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 1,699 3,398 5,097 6,796 10,194 11,893 20,388 23,786 35,679 47,572 71,358 83,251 142,716 166,502 249,753 333,004 499,506 999,012

Collatz Trajectory (152 steps to reach 1)

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

999,012 499,506 249,753 749,260 374,630 187,315 561,946 280,973 842,920 421,460 210,730 105,365 316,096 158,048 79,024 39,512 19,756 9,878 4,939 14,818 7,409 22,228 11,114 5,557 16,672 8,336 4,168 2,084 1,042 521 1,564 782 391 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182

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