λ
Integer Codex

707,045

5 × 41 × 3449
Deficient Odd Composite

For 707,045, the 8 positive divisors have a total of 869,400. Removing 707,045 leaves 162,355, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 41 × 3449
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 869,400
Proper Divisor Sum 162,355
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #707029 ← → #707053

Radix Representation

Decimal 707045
Binary 10101100100111100101 (20 bits)
Octal 0o2544745
Hexadecimal 0xAC9E5

Divisor Catalog (8)

1 5 41 205 3,449 17,245 141,409 707,045

Collatz Trajectory (74 steps to reach 1)

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

707,045 2,121,136 1,060,568 530,284 265,142 132,571 397,714 198,857 596,572 298,286 149,143 447,430 223,715 671,146 335,573 1,006,720 503,360 251,680 125,840 62,920 31,460 15,730 7,865 23,596 11,798 5,899 17,698 8,849 26,548 13,274 6,637 19,912 9,956 4,978 2,489 7,468 3,734 1,867 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14 7 22

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