10,201,617

3² × 1133513

10,201,617 factors as 3^2 × 1133513. Its 6 positive divisors give a proper-divisor sum of 4,534,065, so this integer is deficient. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 3^2 × 1133513

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 14,735,682

Proper Divisor Sum 4,534,065

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #10201589 ← → #10201643

Radix Representation

Decimal	10201617
Binary	100110111010101000010001 (24 bits)
Octal	0o46725021
Hexadecimal	0x9BAA11

Divisor Catalog (6)

1 3 9 1,133,513 3,400,539 10,201,617

Collatz Trajectory (127 steps to reach 1)

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

10,201,617 30,604,852 15,302,426 7,651,213 22,953,640 11,476,820 5,738,410 2,869,205 8,607,616 4,303,808 2,151,904 1,075,952 537,976 268,988 134,494 67,247 201,742 100,871 302,614 151,307 453,922 226,961 680,884 340,442 170,221 510,664 255,332 127,666 63,833 191,500 95,750 47,875 143,626 71,813 215,440 107,720 53,860 26,930 13,465 40,396 20,198 10,099 30,298 15,149 45,448 22,724 11,362 5,681 17,044 8,522 4,261 12,784 6,392 3,196 1,598 799 2,398 1,199 3,598 1,799

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