1,732,740

2² × 3 × 5 × 28879

For 1,732,740, the 24 positive divisors have a total of 4,851,840. Removing 1,732,740 leaves 3,119,100, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 28879

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,851,840

Proper Divisor Sum 3,119,100

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1732727 ← → #1732763

Radix Representation

Decimal	1732740
Binary	110100111000010000100 (21 bits)
Octal	0o6470204
Hexadecimal	0x1A7084

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 28,879 57,758 86,637 115,516 144,395 173,274 288,790 346,548 433,185 577,580 866,370 1,732,740

Collatz Trajectory (127 steps to reach 1)

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

1,732,740 866,370 433,185 1,299,556 649,778 324,889 974,668 487,334 243,667 731,002 365,501 1,096,504 548,252 274,126 137,063 411,190 205,595 616,786 308,393 925,180 462,590 231,295 693,886 346,943 1,040,830 520,415 1,561,246 780,623 2,341,870 1,170,935 3,512,806 1,756,403 5,269,210 2,634,605 7,903,816 3,951,908 1,975,954 987,977 2,963,932 1,481,966 740,983 2,222,950 1,111,475 3,334,426 1,667,213 5,001,640 2,500,820 1,250,410 625,205 1,875,616 937,808 468,904 234,452 117,226 58,613 175,840 87,920 43,960 21,980 10,990

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