λ
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694,785

3 × 5 × 7 × 13 × 509
Deficient Odd Composite

694,785 factors as 3 × 5 × 7 × 13 × 509. Its 32 positive divisors give a proper-divisor sum of 676,095, so this integer is deficient. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 13 × 509
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,370,880
Proper Divisor Sum 676,095
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #694783 ← → #694789

Radix Representation

Decimal 694785
Binary 10101001101000000001 (20 bits)
Octal 0o2515001
Hexadecimal 0xA9A01

Divisor Catalog (32)

1 3 5 7 13 15 21 35 39 65 91 105 195 273 455 509 1,365 1,527 2,545 3,563 6,617 7,635 10,689 17,815 19,851 33,085 46,319 53,445 99,255 138,957 231,595 694,785

Collatz Trajectory (79 steps to reach 1)

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

694,785 2,084,356 1,042,178 521,089 1,563,268 781,634 390,817 1,172,452 586,226 293,113 879,340 439,670 219,835 659,506 329,753 989,260 494,630 247,315 741,946 370,973 1,112,920 556,460 278,230 139,115 417,346 208,673 626,020 313,010 156,505 469,516 234,758 117,379 352,138 176,069 528,208 264,104 132,052 66,026 33,013 99,040 49,520 24,760 12,380 6,190 3,095 9,286 4,643 13,930 6,965 20,896 10,448 5,224 2,612 1,306 653 1,960 980 490 245 736

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