34,985

5 × 6997

34,985 has digital root 2. The neighboring primes are 34981 and 35023; its proper-divisor sum differs from the starting integer by -27,982.

Prime Factor Structure

Factorization String 5 × 6997

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 41,988

Proper Divisor Sum 7,003

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #34981 ← → #35023

Radix Representation

Decimal	34985
Binary	1000100010101001 (16 bits)
Octal	0o104251
Hexadecimal	0x88A9

Divisor Catalog (4)

1 5 6,997 34,985

Collatz Trajectory (155 steps to reach 1)

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

34,985 104,956 52,478 26,239 78,718 39,359 118,078 59,039 177,118 88,559 265,678 132,839 398,518 199,259 597,778 298,889 896,668 448,334 224,167 672,502 336,251 1,008,754 504,377 1,513,132 756,566 378,283 1,134,850 567,425 1,702,276 851,138 425,569 1,276,708 638,354 319,177 957,532 478,766 239,383 718,150 359,075 1,077,226 538,613 1,615,840 807,920 403,960 201,980 100,990 50,495 151,486 75,743 227,230 113,615 340,846 170,423 511,270 255,635 766,906 383,453 1,150,360 575,180 287,590

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