λ
Harmonic Matrix

3,247,311

3 × 137 × 7901
Deficient Odd Composite

3,247,311 has digital root 3. The neighboring primes are 3247297 and 3247313; its proper-divisor sum differs from the starting integer by -2,132,718.

Prime Factor Structure

Factorization String 3 × 137 × 7901
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,361,904
Proper Divisor Sum 1,114,593
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3247297 ← → #3247313

Radix Representation

Decimal 3247311
Binary 1100011000110011001111 (22 bits)
Octal 0o14306317
Hexadecimal 0x318CCF

Divisor Catalog (8)

1 3 137 411 7,901 23,703 1,082,437 3,247,311

Collatz Trajectory (177 steps to reach 1)

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

3,247,311 9,741,934 4,870,967 14,612,902 7,306,451 21,919,354 10,959,677 32,879,032 16,439,516 8,219,758 4,109,879 12,329,638 6,164,819 18,494,458 9,247,229 27,741,688 13,870,844 6,935,422 3,467,711 10,403,134 5,201,567 15,604,702 7,802,351 23,407,054 11,703,527 35,110,582 17,555,291 52,665,874 26,332,937 78,998,812 39,499,406 19,749,703 59,249,110 29,624,555 88,873,666 44,436,833 133,310,500 66,655,250 33,327,625 99,982,876 49,991,438 24,995,719 74,987,158 37,493,579 112,480,738 56,240,369 168,721,108 84,360,554 42,180,277 126,540,832 63,270,416 31,635,208 15,817,604 7,908,802 3,954,401 11,863,204 5,931,602 2,965,801 8,897,404 4,448,702

More profiles

← Previous Integer #3,247,310 Browse Full Index Next Integer #3,247,312 →