λ
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3,132,010

2 × 5 × 7 × 101 × 443
Abundant Even Composite

3,132,010 factors as 2 × 5 × 7 × 101 × 443. Its 32 positive divisors give a proper-divisor sum of 3,389,462, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 101 × 443
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,521,472
Proper Divisor Sum 3,389,462
Digit Sum / Digital Root 10 (Root: 1)
Adjacent Primes #3132007 ← → #3132037

Radix Representation

Decimal 3132010
Binary 1011111100101001101010 (22 bits)
Octal 0o13745152
Hexadecimal 0x2FCA6A

Divisor Catalog (32)

1 2 5 7 10 14 35 70 101 202 443 505 707 886 1,010 1,414 2,215 3,101 3,535 4,430 6,202 7,070 15,505 31,010 44,743 89,486 223,715 313,201 447,430 626,402 1,566,005 3,132,010

Collatz Trajectory (164 steps to reach 1)

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

3,132,010 1,566,005 4,698,016 2,349,008 1,174,504 587,252 293,626 146,813 440,440 220,220 110,110 55,055 165,166 82,583 247,750 123,875 371,626 185,813 557,440 278,720 139,360 69,680 34,840 17,420 8,710 4,355 13,066 6,533 19,600 9,800 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94

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