λ
Harmonic Matrix

2,459,014

2 × 71 × 17317
Deficient Even Composite

2,459,014 has digital root 7. The neighboring primes are 2459011 and 2459027; its proper-divisor sum differs from the starting integer by -1,177,340.

Prime Factor Structure

Factorization String 2 × 71 × 17317
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,740,688
Proper Divisor Sum 1,281,674
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2459011 ← → #2459027

Radix Representation

Decimal 2459014
Binary 1001011000010110000110 (22 bits)
Octal 0o11302606
Hexadecimal 0x258586

Divisor Catalog (8)

1 2 71 142 17,317 34,634 1,229,507 2,459,014

Collatz Trajectory (81 steps to reach 1)

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

2,459,014 1,229,507 3,688,522 1,844,261 5,532,784 2,766,392 1,383,196 691,598 345,799 1,037,398 518,699 1,556,098 778,049 2,334,148 1,167,074 583,537 1,750,612 875,306 437,653 1,312,960 656,480 328,240 164,120 82,060 41,030 20,515 61,546 30,773 92,320 46,160 23,080 11,540 5,770 2,885 8,656 4,328 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74

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