λ
Harmonic Matrix

6,103,002

2 × 3 × 372 × 743
Abundant Even Composite

6,103,002 has digital root 3. The neighboring primes are 6102977 and 6103007; its proper-divisor sum differs from the starting integer by 355,692.

Prime Factor Structure

Factorization String 2 × 3 × 37^2 × 743
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,561,696
Proper Divisor Sum 6,458,694
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #6102977 ← → #6103007

Radix Representation

Decimal 6103002
Binary 10111010001111111011010 (23 bits)
Octal 0o27217732
Hexadecimal 0x5D1FDA

Divisor Catalog (24)

1 2 3 6 37 74 111 222 743 1,369 1,486 2,229 2,738 4,107 4,458 8,214 27,491 54,982 82,473 164,946 1,017,167 2,034,334 3,051,501 6,103,002

Collatz Trajectory (134 steps to reach 1)

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

6,103,002 3,051,501 9,154,504 4,577,252 2,288,626 1,144,313 3,432,940 1,716,470 858,235 2,574,706 1,287,353 3,862,060 1,931,030 965,515 2,896,546 1,448,273 4,344,820 2,172,410 1,086,205 3,258,616 1,629,308 814,654 407,327 1,221,982 610,991 1,832,974 916,487 2,749,462 1,374,731 4,124,194 2,062,097 6,186,292 3,093,146 1,546,573 4,639,720 2,319,860 1,159,930 579,965 1,739,896 869,948 434,974 217,487 652,462 326,231 978,694 489,347 1,468,042 734,021 2,202,064 1,101,032 550,516 275,258 137,629 412,888 206,444 103,222 51,611 154,834 77,417 232,252

More profiles

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