λ
Harmonic Matrix

4,169,520

24 × 32 × 5 × 5791
Abundant Even Composite

4,169,520 has digital root 9. The neighboring primes are 4169513 and 4169521; its proper-divisor sum differs from the starting integer by 5,666,016.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 5791
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 14,005,056
Proper Divisor Sum 9,835,536
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4169513 ← → #4169521

Radix Representation

Decimal 4169520
Binary 1111111001111100110000 (22 bits)
Octal 0o17717460
Hexadecimal 0x3F9F30

Divisor Catalog (60)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 5,791 11,582 17,373 23,164 28,955 34,746 46,328 52,119 57,910 69,492 86,865 92,656 104,238 115,820 138,984 173,730 208,476 231,640 260,595 277,968 347,460 416,952 463,280 521,190 694,920 833,904 1,042,380 1,389,840 2,084,760 4,169,520

Collatz Trajectory (167 steps to reach 1)

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

4,169,520 2,084,760 1,042,380 521,190 260,595 781,786 390,893 1,172,680 586,340 293,170 146,585 439,756 219,878 109,939 329,818 164,909 494,728 247,364 123,682 61,841 185,524 92,762 46,381 139,144 69,572 34,786 17,393 52,180 26,090 13,045 39,136 19,568 9,784 4,892 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124

More profiles

← Previous Integer #4,169,519 Browse Full Index Next Integer #4,169,521 →