λ
Harmonic Matrix

2,500,640

25 × 5 × 15629
Abundant Even Composite

2,500,640 has digital root 8. The neighboring primes are 2500639 and 2500651; its proper-divisor sum differs from the starting integer by 906,860.

Prime Factor Structure

Factorization String 2^5 × 5 × 15629
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,908,140
Proper Divisor Sum 3,407,500
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #2500639 ← → #2500651

Radix Representation

Decimal 2500640
Binary 1001100010100000100000 (22 bits)
Octal 0o11424040
Hexadecimal 0x262820

Divisor Catalog (24)

1 2 4 5 8 10 16 20 32 40 80 160 15,629 31,258 62,516 78,145 125,032 156,290 250,064 312,580 500,128 625,160 1,250,320 2,500,640

Collatz Trajectory (81 steps to reach 1)

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

2,500,640 1,250,320 625,160 312,580 156,290 78,145 234,436 117,218 58,609 175,828 87,914 43,957 131,872 65,936 32,968 16,484 8,242 4,121 12,364 6,182 3,091 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74

More profiles

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