λ
Harmonic Matrix

3,021,044

22 × 132 × 41 × 109
Deficient Even Composite

3,021,044 has digital root 5. The neighboring primes are 3021001 and 3021059; its proper-divisor sum differs from the starting integer by -123,868.

Prime Factor Structure

Factorization String 2^2 × 13^2 × 41 × 109
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 5,918,220
Proper Divisor Sum 2,897,176
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #3021001 ← → #3021059

Radix Representation

Decimal 3021044
Binary 1011100001100011110100 (22 bits)
Octal 0o13414364
Hexadecimal 0x2E18F4

Divisor Catalog (36)

1 2 4 13 26 41 52 82 109 164 169 218 338 436 533 676 1,066 1,417 2,132 2,834 4,469 5,668 6,929 8,938 13,858 17,876 18,421 27,716 36,842 58,097 73,684 116,194 232,388 755,261 1,510,522 3,021,044

Collatz Trajectory (182 steps to reach 1)

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

3,021,044 1,510,522 755,261 2,265,784 1,132,892 566,446 283,223 849,670 424,835 1,274,506 637,253 1,911,760 955,880 477,940 238,970 119,485 358,456 179,228 89,614 44,807 134,422 67,211 201,634 100,817 302,452 151,226 75,613 226,840 113,420 56,710 28,355 85,066 42,533 127,600 63,800 31,900 15,950 7,975 23,926 11,963 35,890 17,945 53,836 26,918 13,459 40,378 20,189 60,568 30,284 15,142 7,571 22,714 11,357 34,072 17,036 8,518 4,259 12,778 6,389 19,168

More profiles

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