λ
Harmonic Matrix

4,414,880

25 × 5 × 41 × 673
Abundant Even Composite

4,414,880 has digital root 2. The neighboring primes are 4414867 and 4414909; its proper-divisor sum differs from the starting integer by 1,870,664.

Prime Factor Structure

Factorization String 2^5 × 5 × 41 × 673
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,700,424
Proper Divisor Sum 6,285,544
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4414867 ← → #4414909

Radix Representation

Decimal 4414880
Binary 10000110101110110100000 (23 bits)
Octal 0o20656640
Hexadecimal 0x435DA0

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 673 820 1,312 1,346 1,640 2,692 3,280 3,365 5,384 6,560 6,730 10,768 13,460 21,536 26,920 27,593 53,840 55,186 107,680 110,372 137,965 220,744 275,930 441,488 551,860 882,976 1,103,720 2,207,440 4,414,880

Collatz Trajectory (149 steps to reach 1)

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

4,414,880 2,207,440 1,103,720 551,860 275,930 137,965 413,896 206,948 103,474 51,737 155,212 77,606 38,803 116,410 58,205 174,616 87,308 43,654 21,827 65,482 32,741 98,224 49,112 24,556 12,278 6,139 18,418 9,209 27,628 13,814 6,907 20,722 10,361 31,084 15,542 7,771 23,314 11,657 34,972 17,486 8,743 26,230 13,115 39,346 19,673 59,020 29,510 14,755 44,266 22,133 66,400 33,200 16,600 8,300 4,150 2,075 6,226 3,113 9,340 4,670

More profiles

← Previous Integer #4,414,879 Browse Full Index Next Integer #4,414,881 →