λ
Harmonic Matrix

2,502,897

3 × 834299
Deficient Odd Composite

2,502,897 has digital root 6. The neighboring primes are 2502833 and 2502917; its proper-divisor sum differs from the starting integer by -1,668,594.

Prime Factor Structure

Factorization String 3 × 834299
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,337,200
Proper Divisor Sum 834,303
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2502833 ← → #2502917

Radix Representation

Decimal 2502897
Binary 1001100011000011110001 (22 bits)
Octal 0o11430361
Hexadecimal 0x2630F1

Divisor Catalog (4)

1 3 834,299 2,502,897

Collatz Trajectory (81 steps to reach 1)

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

2,502,897 7,508,692 3,754,346 1,877,173 5,631,520 2,815,760 1,407,880 703,940 351,970 175,985 527,956 263,978 131,989 395,968 197,984 98,992 49,496 24,748 12,374 6,187 18,562 9,281 27,844 13,922 6,961 20,884 10,442 5,221 15,664 7,832 3,916 1,958 979 2,938 1,469 4,408 2,204 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

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