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Atlas › Integer Profiles › Node 10,036,810

10,036,810

2 × 5 × 7 × 127 × 1129
Abundant Even Composite

10,036,810 factors as 2 × 5 × 7 × 127 × 1129. Its 32 positive divisors give a proper-divisor sum of 10,791,350, so this integer is abundant. The Collatz stopping time is 282 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 127 × 1129
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,828,160
Proper Divisor Sum 10,791,350
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #10036787 ← → #10036837

Radix Representation

Decimal 10036810
Binary 100110010010011001001010 (24 bits)
Octal 0o46223112
Hexadecimal 0x99264A

Divisor Catalog (32)

1 2 5 7 10 14 35 70 127 254 635 889 1,129 1,270 1,778 2,258 4,445 5,645 7,903 8,890 11,290 15,806 39,515 79,030 143,383 286,766 716,915 1,003,681 1,433,830 2,007,362 5,018,405 10,036,810

Collatz Trajectory (282 steps to reach 1)

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

10,036,810 5,018,405 15,055,216 7,527,608 3,763,804 1,881,902 940,951 2,822,854 1,411,427 4,234,282 2,117,141 6,351,424 3,175,712 1,587,856 793,928 396,964 198,482 99,241 297,724 148,862 74,431 223,294 111,647 334,942 167,471 502,414 251,207 753,622 376,811 1,130,434 565,217 1,695,652 847,826 423,913 1,271,740 635,870 317,935 953,806 476,903 1,430,710 715,355 2,146,066 1,073,033 3,219,100 1,609,550 804,775 2,414,326 1,207,163 3,621,490 1,810,745 5,432,236 2,716,118 1,358,059 4,074,178 2,037,089 6,111,268 3,055,634 1,527,817 4,583,452 2,291,726

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