10,146,040

2³ × 5 × 253651

10,146,040 factors as 2^3 × 5 × 253651. Its 16 positive divisors give a proper-divisor sum of 12,682,640, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 253651

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 22,828,680

Proper Divisor Sum 12,682,640

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #10146007 ← → #10146077

Radix Representation

Decimal	10146040
Binary	100110101101000011111000 (24 bits)
Octal	0o46550370
Hexadecimal	0x9AD0F8

Divisor Catalog (16)

1 2 4 5 8 10 20 40 253,651 507,302 1,014,604 1,268,255 2,029,208 2,536,510 5,073,020 10,146,040

Collatz Trajectory (106 steps to reach 1)

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

10,146,040 5,073,020 2,536,510 1,268,255 3,804,766 1,902,383 5,707,150 2,853,575 8,560,726 4,280,363 12,841,090 6,420,545 19,261,636 9,630,818 4,815,409 14,446,228 7,223,114 3,611,557 10,834,672 5,417,336 2,708,668 1,354,334 677,167 2,031,502 1,015,751 3,047,254 1,523,627 4,570,882 2,285,441 6,856,324 3,428,162 1,714,081 5,142,244 2,571,122 1,285,561 3,856,684 1,928,342 964,171 2,892,514 1,446,257 4,338,772 2,169,386 1,084,693 3,254,080 1,627,040 813,520 406,760 203,380 101,690 50,845 152,536 76,268 38,134 19,067 57,202 28,601 85,804 42,902 21,451 64,354

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