971,084

2² × 103 × 2357

971,084 factors as 2^2 × 103 × 2357. Its 12 positive divisors give a proper-divisor sum of 745,540, so this integer is deficient. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^2 × 103 × 2357

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,716,624

Proper Divisor Sum 745,540

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #971077 ← → #971093

Radix Representation

Decimal	971084
Binary	11101101000101001100 (20 bits)
Octal	0o3550514
Hexadecimal	0xED14C

Divisor Catalog (12)

1 2 4 103 206 412 2,357 4,714 9,428 242,771 485,542 971,084

Collatz Trajectory (152 steps to reach 1)

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

971,084 485,542 242,771 728,314 364,157 1,092,472 546,236 273,118 136,559 409,678 204,839 614,518 307,259 921,778 460,889 1,382,668 691,334 345,667 1,037,002 518,501 1,555,504 777,752 388,876 194,438 97,219 291,658 145,829 437,488 218,744 109,372 54,686 27,343 82,030 41,015 123,046 61,523 184,570 92,285 276,856 138,428 69,214 34,607 103,822 51,911 155,734 77,867 233,602 116,801 350,404 175,202 87,601 262,804 131,402 65,701 197,104 98,552 49,276 24,638 12,319 36,958

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