λ
Harmonic Matrix

3,522,482

2 × 673 × 2617
Deficient Even Composite

3,522,482 has digital root 8. The neighboring primes are 3522479 and 3522487; its proper-divisor sum differs from the starting integer by -1,751,368.

Prime Factor Structure

Factorization String 2 × 673 × 2617
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,293,596
Proper Divisor Sum 1,771,114
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3522479 ← → #3522487

Radix Representation

Decimal 3522482
Binary 1101011011111110110010 (22 bits)
Octal 0o15337662
Hexadecimal 0x35BFB2

Divisor Catalog (8)

1 2 673 1,346 2,617 5,234 1,761,241 3,522,482

Collatz Trajectory (128 steps to reach 1)

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

3,522,482 1,761,241 5,283,724 2,641,862 1,320,931 3,962,794 1,981,397 5,944,192 2,972,096 1,486,048 743,024 371,512 185,756 92,878 46,439 139,318 69,659 208,978 104,489 313,468 156,734 78,367 235,102 117,551 352,654 176,327 528,982 264,491 793,474 396,737 1,190,212 595,106 297,553 892,660 446,330 223,165 669,496 334,748 167,374 83,687 251,062 125,531 376,594 188,297 564,892 282,446 141,223 423,670 211,835 635,506 317,753 953,260 476,630 238,315 714,946 357,473 1,072,420 536,210 268,105 804,316

More profiles

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