1,732,562

2 × 13 × 37 × 1801

1,732,562 has digital root 8. The neighboring primes are 1732531 and 1732579; its proper-divisor sum differs from the starting integer by -589,132.

Prime Factor Structure

Factorization String 2 × 13 × 37 × 1801

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,875,992

Proper Divisor Sum 1,143,430

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #1732531 ← → #1732579

Radix Representation

Decimal	1732562
Binary	110100110111111010010 (21 bits)
Octal	0o6467722
Hexadecimal	0x1A6FD2

Divisor Catalog (16)

1 2 13 26 37 74 481 962 1,801 3,602 23,413 46,826 66,637 133,274 866,281 1,732,562

Collatz Trajectory (233 steps to reach 1)

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

1,732,562 866,281 2,598,844 1,299,422 649,711 1,949,134 974,567 2,923,702 1,461,851 4,385,554 2,192,777 6,578,332 3,289,166 1,644,583 4,933,750 2,466,875 7,400,626 3,700,313 11,100,940 5,550,470 2,775,235 8,325,706 4,162,853 12,488,560 6,244,280 3,122,140 1,561,070 780,535 2,341,606 1,170,803 3,512,410 1,756,205 5,268,616 2,634,308 1,317,154 658,577 1,975,732 987,866 493,933 1,481,800 740,900 370,450 185,225 555,676 277,838 138,919 416,758 208,379 625,138 312,569 937,708 468,854 234,427 703,282 351,641 1,054,924 527,462 263,731 791,194 395,597

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