λ
Harmonic Matrix

2,455,564

22 × 349 × 1759
Deficient Even Composite

2,455,564 has digital root 4. The neighboring primes are 2455561 and 2455577; its proper-divisor sum differs from the starting integer by -599,128.

Prime Factor Structure

Factorization String 2^2 × 349 × 1759
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,312,000
Proper Divisor Sum 1,856,436
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2455561 ← → #2455577

Radix Representation

Decimal 2455564
Binary 1001010111100000001100 (22 bits)
Octal 0o11274014
Hexadecimal 0x25780C

Divisor Catalog (12)

1 2 4 349 698 1,396 1,759 3,518 7,036 613,891 1,227,782 2,455,564

Collatz Trajectory (174 steps to reach 1)

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

2,455,564 1,227,782 613,891 1,841,674 920,837 2,762,512 1,381,256 690,628 345,314 172,657 517,972 258,986 129,493 388,480 194,240 97,120 48,560 24,280 12,140 6,070 3,035 9,106 4,553 13,660 6,830 3,415 10,246 5,123 15,370 7,685 23,056 11,528 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436

More profiles

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