λ
Harmonic Matrix

3,224,472

23 × 3 × 134353
Abundant Even Composite

3,224,472 has digital root 6. The neighboring primes are 3224461 and 3224479; its proper-divisor sum differs from the starting integer by 1,612,296.

Prime Factor Structure

Factorization String 2^3 × 3 × 134353
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,061,240
Proper Divisor Sum 4,836,768
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3224461 ← → #3224479

Radix Representation

Decimal 3224472
Binary 1100010011001110011000 (22 bits)
Octal 0o14231630
Hexadecimal 0x313398

Divisor Catalog (16)

1 2 3 4 6 8 12 24 134,353 268,706 403,059 537,412 806,118 1,074,824 1,612,236 3,224,472

Collatz Trajectory (71 steps to reach 1)

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

3,224,472 1,612,236 806,118 403,059 1,209,178 604,589 1,813,768 906,884 453,442 226,721 680,164 340,082 170,041 510,124 255,062 127,531 382,594 191,297 573,892 286,946 143,473 430,420 215,210 107,605 322,816 161,408 80,704 40,352 20,176 10,088 5,044 2,522 1,261 3,784 1,892 946 473 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17

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