1,333,356

2² × 3 × 23 × 4831

1,333,356 has digital root 6. The neighboring primes are 1333331 and 1333357; its proper-divisor sum differs from the starting integer by 580,392.

Prime Factor Structure

Factorization String 2^2 × 3 × 23 × 4831

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,247,104

Proper Divisor Sum 1,913,748

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1333331 ← → #1333357

Radix Representation

Decimal	1333356
Binary	101000101100001101100 (21 bits)
Octal	0o5054154
Hexadecimal	0x14586C

Divisor Catalog (24)

1 2 3 4 6 12 23 46 69 92 138 276 4,831 9,662 14,493 19,324 28,986 57,972 111,113 222,226 333,339 444,452 666,678 1,333,356

Collatz Trajectory (142 steps to reach 1)

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

1,333,356 666,678 333,339 1,000,018 500,009 1,500,028 750,014 375,007 1,125,022 562,511 1,687,534 843,767 2,531,302 1,265,651 3,796,954 1,898,477 5,695,432 2,847,716 1,423,858 711,929 2,135,788 1,067,894 533,947 1,601,842 800,921 2,402,764 1,201,382 600,691 1,802,074 901,037 2,703,112 1,351,556 675,778 337,889 1,013,668 506,834 253,417 760,252 380,126 190,063 570,190 285,095 855,286 427,643 1,282,930 641,465 1,924,396 962,198 481,099 1,443,298 721,649 2,164,948 1,082,474 541,237 1,623,712 811,856 405,928 202,964 101,482 50,741

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