λ
Harmonic Matrix

9,787,564

22 × 2446891
Deficient Even Composite

9,787,564 has digital root 1. The neighboring primes are 9787553 and 9787567; its proper-divisor sum differs from the starting integer by -2,446,884.

Prime Factor Structure

Factorization String 2^2 × 2446891
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 17,128,244
Proper Divisor Sum 7,340,680
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #9787553 ← → #9787567

Radix Representation

Decimal 9787564
Binary 100101010101100010101100 (24 bits)
Octal 0o45254254
Hexadecimal 0x9558AC

Divisor Catalog (6)

1 2 4 2,446,891 4,893,782 9,787,564

Collatz Trajectory (114 steps to reach 1)

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

9,787,564 4,893,782 2,446,891 7,340,674 3,670,337 11,011,012 5,505,506 2,752,753 8,258,260 4,129,130 2,064,565 6,193,696 3,096,848 1,548,424 774,212 387,106 193,553 580,660 290,330 145,165 435,496 217,748 108,874 54,437 163,312 81,656 40,828 20,414 10,207 30,622 15,311 45,934 22,967 68,902 34,451 103,354 51,677 155,032 77,516 38,758 19,379 58,138 29,069 87,208 43,604 21,802 10,901 32,704 16,352 8,176 4,088 2,044 1,022 511 1,534 767 2,302 1,151 3,454 1,727

More profiles

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