λ
Harmonic Matrix

3,772,490

2 × 5 × 109 × 3461
Deficient Even Composite

3,772,490 has digital root 5. The neighboring primes are 3772459 and 3772493; its proper-divisor sum differs from the starting integer by -690,220.

Prime Factor Structure

Factorization String 2 × 5 × 109 × 3461
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,854,760
Proper Divisor Sum 3,082,270
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3772459 ← → #3772493

Radix Representation

Decimal 3772490
Binary 1110011001000001001010 (22 bits)
Octal 0o16310112
Hexadecimal 0x39904A

Divisor Catalog (16)

1 2 5 10 109 218 545 1,090 3,461 6,922 17,305 34,610 377,249 754,498 1,886,245 3,772,490

Collatz Trajectory (128 steps to reach 1)

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

3,772,490 1,886,245 5,658,736 2,829,368 1,414,684 707,342 353,671 1,061,014 530,507 1,591,522 795,761 2,387,284 1,193,642 596,821 1,790,464 895,232 447,616 223,808 111,904 55,952 27,976 13,988 6,994 3,497 10,492 5,246 2,623 7,870 3,935 11,806 5,903 17,710 8,855 26,566 13,283 39,850 19,925 59,776 29,888 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668

More profiles

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