1,333,332

2² × 3² × 7 × 11 × 13 × 37

1,333,332 factors as 2^2 × 3^2 × 7 × 11 × 13 × 37. Its 144 positive divisors give a proper-divisor sum of 3,314,220, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 11 × 13 × 37

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 4,647,552

Proper Divisor Sum 3,314,220

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1333331 ← → #1333357

Radix Representation

Decimal	1333332
Binary	101000101100001010100 (21 bits)
Octal	0o5054124
Hexadecimal	0x145854

Divisor Catalog (60 of 144)

1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 28 33 36 37 39 42 44 52 63 66 74 77 78 84 91 99 111 117 126 132 143 148 154 156 182 198 222 231 234 252 259 273 286 308 333 364 396 407 429 444 462 468 481 518 546

Collatz Trajectory (155 steps to reach 1)

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

1,333,332 666,666 333,333 1,000,000 500,000 250,000 125,000 62,500 31,250 15,625 46,876 23,438 11,719 35,158 17,579 52,738 26,369 79,108 39,554 19,777 59,332 29,666 14,833 44,500 22,250 11,125 33,376 16,688 8,344 4,172 2,086 1,043 3,130 1,565 4,696 2,348 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

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