λ
Harmonic Matrix

2,455,640

23 × 5 × 11 × 5581
Abundant Even Composite

2,455,640 has digital root 8. The neighboring primes are 2455619 and 2455643; its proper-divisor sum differs from the starting integer by 1,117,280.

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 5581
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,028,560
Proper Divisor Sum 3,572,920
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2455619 ← → #2455643

Radix Representation

Decimal 2455640
Binary 1001010111100001011000 (22 bits)
Octal 0o11274130
Hexadecimal 0x257858

Divisor Catalog (32)

1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 5,581 11,162 22,324 27,905 44,648 55,810 61,391 111,620 122,782 223,240 245,564 306,955 491,128 613,910 1,227,820 2,455,640

Collatz Trajectory (174 steps to reach 1)

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

2,455,640 1,227,820 613,910 306,955 920,866 460,433 1,381,300 690,650 345,325 1,035,976 517,988 258,994 129,497 388,492 194,246 97,123 291,370 145,685 437,056 218,528 109,264 54,632 27,316 13,658 6,829 20,488 10,244 5,122 2,561 7,684 3,842 1,921 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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