4,430,440

2³ × 5 × 7 × 15823

4,430,440 has digital root 1. The neighboring primes are 4430431 and 4430441; its proper-divisor sum differs from the starting integer by 2,532,400.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 15823

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 11,393,280

Proper Divisor Sum 6,962,840

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #4430431 ← → #4430441

Radix Representation

Decimal	4430440
Binary	10000111001101001101000 (23 bits)
Octal	0o20715150
Hexadecimal	0x439A68

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 15,823 31,646 63,292 79,115 110,761 126,584 158,230 221,522 316,460 443,044 553,805 632,920 886,088 1,107,610 2,215,220 4,430,440

Collatz Trajectory (118 steps to reach 1)

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

4,430,440 2,215,220 1,107,610 553,805 1,661,416 830,708 415,354 207,677 623,032 311,516 155,758 77,879 233,638 116,819 350,458 175,229 525,688 262,844 131,422 65,711 197,134 98,567 295,702 147,851 443,554 221,777 665,332 332,666 166,333 499,000 249,500 124,750 62,375 187,126 93,563 280,690 140,345 421,036 210,518 105,259 315,778 157,889 473,668 236,834 118,417 355,252 177,626 88,813 266,440 133,220 66,610 33,305 99,916 49,958 24,979 74,938 37,469 112,408 56,204 28,102

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