λ
Harmonic Matrix

1,626,276

22 × 3 × 59 × 2297
Abundant Even Composite

1,626,276 has digital root 3. The neighboring primes are 1626269 and 1626277; its proper-divisor sum differs from the starting integer by 608,088.

Prime Factor Structure

Factorization String 2^2 × 3 × 59 × 2297
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,860,640
Proper Divisor Sum 2,234,364
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1626269 ← → #1626277

Radix Representation

Decimal 1626276
Binary 110001101000010100100 (21 bits)
Octal 0o6150244
Hexadecimal 0x18D0A4

Divisor Catalog (24)

1 2 3 4 6 12 59 118 177 236 354 708 2,297 4,594 6,891 9,188 13,782 27,564 135,523 271,046 406,569 542,092 813,138 1,626,276

Collatz Trajectory (282 steps to reach 1)

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

1,626,276 813,138 406,569 1,219,708 609,854 304,927 914,782 457,391 1,372,174 686,087 2,058,262 1,029,131 3,087,394 1,543,697 4,631,092 2,315,546 1,157,773 3,473,320 1,736,660 868,330 434,165 1,302,496 651,248 325,624 162,812 81,406 40,703 122,110 61,055 183,166 91,583 274,750 137,375 412,126 206,063 618,190 309,095 927,286 463,643 1,390,930 695,465 2,086,396 1,043,198 521,599 1,564,798 782,399 2,347,198 1,173,599 3,520,798 1,760,399 5,281,198 2,640,599 7,921,798 3,960,899 11,882,698 5,941,349 17,824,048 8,912,024 4,456,012 2,228,006

More profiles

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