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Atlas › Integer Profiles › Node 1,925,010

1,925,010

2 × 32 × 5 × 73 × 293
Abundant Even Composite

1,925,010 factors as 2 × 3^2 × 5 × 73 × 293. Its 48 positive divisors give a proper-divisor sum of 3,165,894, so this integer is abundant. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 73 × 293
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,090,904
Proper Divisor Sum 3,165,894
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1924973 ← → #1925017

Radix Representation

Decimal 1925010
Binary 111010101111110010010 (21 bits)
Octal 0o7257622
Hexadecimal 0x1D5F92

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 293 365 438 586 657 730 879 1,095 1,314 1,465 1,758 2,190 2,637 2,930 3,285 4,395 5,274 6,570 8,790 13,185 21,389 26,370 42,778 64,167 106,945 128,334 192,501 213,890 320,835 385,002 641,670 962,505 1,925,010

Collatz Trajectory (171 steps to reach 1)

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

1,925,010 962,505 2,887,516 1,443,758 721,879 2,165,638 1,082,819 3,248,458 1,624,229 4,872,688 2,436,344 1,218,172 609,086 304,543 913,630 456,815 1,370,446 685,223 2,055,670 1,027,835 3,083,506 1,541,753 4,625,260 2,312,630 1,156,315 3,468,946 1,734,473 5,203,420 2,601,710 1,300,855 3,902,566 1,951,283 5,853,850 2,926,925 8,780,776 4,390,388 2,195,194 1,097,597 3,292,792 1,646,396 823,198 411,599 1,234,798 617,399 1,852,198 926,099 2,778,298 1,389,149 4,167,448 2,083,724 1,041,862 520,931 1,562,794 781,397 2,344,192 1,172,096 586,048 293,024 146,512 73,256

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