10,000,021

97 × 103093

10,000,021 factors as 97 × 103093. Its 4 positive divisors give a proper-divisor sum of 103,191, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 97 × 103093

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 10,103,212

Proper Divisor Sum 103,191

Digit Sum / Digital Root 4 (Root: 4)

Adjacent Primes #10000019 ← → #10000079

Radix Representation

Decimal	10000021
Binary	100110001001011010010101 (24 bits)
Octal	0o46113225
Hexadecimal	0x989695

Divisor Catalog (4)

1 97 103,093 10,000,021

Collatz Trajectory (176 steps to reach 1)

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

10,000,021 30,000,064 15,000,032 7,500,016 3,750,008 1,875,004 937,502 468,751 1,406,254 703,127 2,109,382 1,054,691 3,164,074 1,582,037 4,746,112 2,373,056 1,186,528 593,264 296,632 148,316 74,158 37,079 111,238 55,619 166,858 83,429 250,288 125,144 62,572 31,286 15,643 46,930 23,465 70,396 35,198 17,599 52,798 26,399 79,198 39,599 118,798 59,399 178,198 89,099 267,298 133,649 400,948 200,474 100,237 300,712 150,356 75,178 37,589 112,768 56,384 28,192 14,096 7,048 3,524 1,762

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