λ
Harmonic Matrix

1,435,884

22 × 3 × 119657
Abundant Even Composite

1,435,884 has digital root 6. The neighboring primes are 1435853 and 1435901; its proper-divisor sum differs from the starting integer by 478,656.

Prime Factor Structure

Factorization String 2^2 × 3 × 119657
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,350,424
Proper Divisor Sum 1,914,540
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1435853 ← → #1435901

Radix Representation

Decimal 1435884
Binary 101011110100011101100 (21 bits)
Octal 0o5364354
Hexadecimal 0x15E8EC

Divisor Catalog (12)

1 2 3 4 6 12 119,657 239,314 358,971 478,628 717,942 1,435,884

Collatz Trajectory (212 steps to reach 1)

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

1,435,884 717,942 358,971 1,076,914 538,457 1,615,372 807,686 403,843 1,211,530 605,765 1,817,296 908,648 454,324 227,162 113,581 340,744 170,372 85,186 42,593 127,780 63,890 31,945 95,836 47,918 23,959 71,878 35,939 107,818 53,909 161,728 80,864 40,432 20,216 10,108 5,054 2,527 7,582 3,791 11,374 5,687 17,062 8,531 25,594 12,797 38,392 19,196 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449 109,348 54,674

More profiles

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