λ
Harmonic Matrix

2,622,104

23 × 31 × 97 × 109
Deficient Even Composite

2,622,104 has digital root 8. The neighboring primes are 2622091 and 2622119; its proper-divisor sum differs from the starting integer by -69,808.

Prime Factor Structure

Factorization String 2^3 × 31 × 97 × 109
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,174,400
Proper Divisor Sum 2,552,296
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #2622091 ← → #2622119

Radix Representation

Decimal 2622104
Binary 1010000000001010011000 (22 bits)
Octal 0o12001230
Hexadecimal 0x280298

Divisor Catalog (32)

1 2 4 8 31 62 97 109 124 194 218 248 388 436 776 872 3,007 3,379 6,014 6,758 10,573 12,028 13,516 21,146 24,056 27,032 42,292 84,584 327,763 655,526 1,311,052 2,622,104

Collatz Trajectory (112 steps to reach 1)

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

2,622,104 1,311,052 655,526 327,763 983,290 491,645 1,474,936 737,468 368,734 184,367 553,102 276,551 829,654 414,827 1,244,482 622,241 1,866,724 933,362 466,681 1,400,044 700,022 350,011 1,050,034 525,017 1,575,052 787,526 393,763 1,181,290 590,645 1,771,936 885,968 442,984 221,492 110,746 55,373 166,120 83,060 41,530 20,765 62,296 31,148 15,574 7,787 23,362 11,681 35,044 17,522 8,761 26,284 13,142 6,571 19,714 9,857 29,572 14,786 7,393 22,180 11,090 5,545 16,636

More profiles

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