λ
Harmonic Matrix

3,564,752

24 × 31 × 7187
Abundant Even Composite

3,564,752 has digital root 5. The neighboring primes are 3564751 and 3564787; its proper-divisor sum differs from the starting integer by 992.

Prime Factor Structure

Factorization String 2^4 × 31 × 7187
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 7,130,496
Proper Divisor Sum 3,565,744
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3564751 ← → #3564787

Radix Representation

Decimal 3564752
Binary 1101100110010011010000 (22 bits)
Octal 0o15462320
Hexadecimal 0x3664D0

Divisor Catalog (20)

1 2 4 8 16 31 62 124 248 496 7,187 14,374 28,748 57,496 114,992 222,797 445,594 891,188 1,782,376 3,564,752

Collatz Trajectory (71 steps to reach 1)

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

3,564,752 1,782,376 891,188 445,594 222,797 668,392 334,196 167,098 83,549 250,648 125,324 62,662 31,331 93,994 46,997 140,992 70,496 35,248 17,624 8,812 4,406 2,203 6,610 3,305 9,916 4,958 2,479 7,438 3,719 11,158 5,579 16,738 8,369 25,108 12,554 6,277 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106

More profiles

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