34,755

3 × 5 × 7 × 331

34,755 factors as 3 × 5 × 7 × 331. Its 16 positive divisors give a proper-divisor sum of 28,989, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 331

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 63,744

Proper Divisor Sum 28,989

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #34747 ← → #34757

Radix Representation

Decimal	34755
Binary	1000011111000011 (16 bits)
Octal	0o103703
Hexadecimal	0x87C3

Divisor Catalog (16)

1 3 5 7 15 21 35 105 331 993 1,655 2,317 4,965 6,951 11,585 34,755

Collatz Trajectory (160 steps to reach 1)

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

34,755 104,266 52,133 156,400 78,200 39,100 19,550 9,775 29,326 14,663 43,990 21,995 65,986 32,993 98,980 49,490 24,745 74,236 37,118 18,559 55,678 27,839 83,518 41,759 125,278 62,639 187,918 93,959 281,878 140,939 422,818 211,409 634,228 317,114 158,557 475,672 237,836 118,918 59,459 178,378 89,189 267,568 133,784 66,892 33,446 16,723 50,170 25,085 75,256 37,628 18,814 9,407 28,222 14,111 42,334 21,167 63,502 31,751 95,254 47,627

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