λ
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707,115

3 × 5 × 17 × 47 × 59
Deficient Odd Composite

707,115 factors as 3 × 5 × 17 × 47 × 59. Its 32 positive divisors give a proper-divisor sum of 537,045, so this integer is deficient. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 3 × 5 × 17 × 47 × 59
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,244,160
Proper Divisor Sum 537,045
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #707111 ← → #707117

Radix Representation

Decimal 707115
Binary 10101100101000101011 (20 bits)
Octal 0o2545053
Hexadecimal 0xACA2B

Divisor Catalog (32)

1 3 5 15 17 47 51 59 85 141 177 235 255 295 705 799 885 1,003 2,397 2,773 3,009 3,995 5,015 8,319 11,985 13,865 15,045 41,595 47,141 141,423 235,705 707,115

Collatz Trajectory (110 steps to reach 1)

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

707,115 2,121,346 1,060,673 3,182,020 1,591,010 795,505 2,386,516 1,193,258 596,629 1,789,888 894,944 447,472 223,736 111,868 55,934 27,967 83,902 41,951 125,854 62,927 188,782 94,391 283,174 141,587 424,762 212,381 637,144 318,572 159,286 79,643 238,930 119,465 358,396 179,198 89,599 268,798 134,399 403,198 201,599 604,798 302,399 907,198 453,599 1,360,798 680,399 2,041,198 1,020,599 3,061,798 1,530,899 4,592,698 2,296,349 6,889,048 3,444,524 1,722,262 861,131 2,583,394 1,291,697 3,875,092 1,937,546 968,773

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