λ
Harmonic Matrix

3,232,528

24 × 13 × 15541
Abundant Even Composite

3,232,528 has digital root 7. The neighboring primes are 3232517 and 3232529; its proper-divisor sum differs from the starting integer by 280,172.

Prime Factor Structure

Factorization String 2^4 × 13 × 15541
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 6,745,228
Proper Divisor Sum 3,512,700
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3232517 ← → #3232529

Radix Representation

Decimal 3232528
Binary 1100010101001100010000 (22 bits)
Octal 0o14251420
Hexadecimal 0x315310

Divisor Catalog (20)

1 2 4 8 13 16 26 52 104 208 15,541 31,082 62,164 124,328 202,033 248,656 404,066 808,132 1,616,264 3,232,528

Collatz Trajectory (164 steps to reach 1)

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

3,232,528 1,616,264 808,132 404,066 202,033 606,100 303,050 151,525 454,576 227,288 113,644 56,822 28,411 85,234 42,617 127,852 63,926 31,963 95,890 47,945 143,836 71,918 35,959 107,878 53,939 161,818 80,909 242,728 121,364 60,682 30,341 91,024 45,512 22,756 11,378 5,689 17,068 8,534 4,267 12,802 6,401 19,204 9,602 4,801 14,404 7,202 3,601 10,804 5,402 2,701 8,104 4,052 2,026 1,013 3,040 1,520 760 380 190 95

More profiles

← Previous Integer #3,232,527 Browse Full Index Next Integer #3,232,529 →