9,508,085

5 × 23 × 29 × 2851

9,508,085 factors as 5 × 23 × 29 × 2851. Its 16 positive divisors give a proper-divisor sum of 2,812,555, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 5 × 23 × 29 × 2851

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,320,640

Proper Divisor Sum 2,812,555

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #9508073 ← → #9508087

Radix Representation

Decimal	9508085
Binary	100100010001010011110101 (24 bits)
Octal	0o44212365
Hexadecimal	0x9114F5

Divisor Catalog (16)

1 5 23 29 115 145 667 2,851 3,335 14,255 65,573 82,679 327,865 413,395 1,901,617 9,508,085

Collatz Trajectory (176 steps to reach 1)

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

9,508,085 28,524,256 14,262,128 7,131,064 3,565,532 1,782,766 891,383 2,674,150 1,337,075 4,011,226 2,005,613 6,016,840 3,008,420 1,504,210 752,105 2,256,316 1,128,158 564,079 1,692,238 846,119 2,538,358 1,269,179 3,807,538 1,903,769 5,711,308 2,855,654 1,427,827 4,283,482 2,141,741 6,425,224 3,212,612 1,606,306 803,153 2,409,460 1,204,730 602,365 1,807,096 903,548 451,774 225,887 677,662 338,831 1,016,494 508,247 1,524,742 762,371 2,287,114 1,143,557 3,430,672 1,715,336 857,668 428,834 214,417 643,252 321,626 160,813 482,440 241,220 120,610 60,305

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