λ
Harmonic Matrix

1,335,324

22 × 3 × 223 × 499
Abundant Even Composite

1,335,324 has digital root 3. The neighboring primes are 1335319 and 1335331; its proper-divisor sum differs from the starting integer by 465,352.

Prime Factor Structure

Factorization String 2^2 × 3 × 223 × 499
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,136,000
Proper Divisor Sum 1,800,676
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1335319 ← → #1335331

Radix Representation

Decimal 1335324
Binary 101000110000000011100 (21 bits)
Octal 0o5060034
Hexadecimal 0x14601C

Divisor Catalog (24)

1 2 3 4 6 12 223 446 499 669 892 998 1,338 1,497 1,996 2,676 2,994 5,988 111,277 222,554 333,831 445,108 667,662 1,335,324

Collatz Trajectory (93 steps to reach 1)

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

1,335,324 667,662 333,831 1,001,494 500,747 1,502,242 751,121 2,253,364 1,126,682 563,341 1,690,024 845,012 422,506 211,253 633,760 316,880 158,440 79,220 39,610 19,805 59,416 29,708 14,854 7,427 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236

More profiles

← Previous Integer #1,335,323 Browse Full Index Next Integer #1,335,325 →