9,726,567

3 × 17 × 190717

9,726,567 factors as 3 × 17 × 190717. Its 8 positive divisors give a proper-divisor sum of 4,005,129, so this integer is deficient. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 3 × 17 × 190717

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,731,696

Proper Divisor Sum 4,005,129

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9726551 ← → #9726569

Radix Representation

Decimal	9726567
Binary	100101000110101001100111 (24 bits)
Octal	0o45065147
Hexadecimal	0x946A67

Divisor Catalog (8)

1 3 17 51 190,717 572,151 3,242,189 9,726,567

Collatz Trajectory (132 steps to reach 1)

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

9,726,567 29,179,702 14,589,851 43,769,554 21,884,777 65,654,332 32,827,166 16,413,583 49,240,750 24,620,375 73,861,126 36,930,563 110,791,690 55,395,845 166,187,536 83,093,768 41,546,884 20,773,442 10,386,721 31,160,164 15,580,082 7,790,041 23,370,124 11,685,062 5,842,531 17,527,594 8,763,797 26,291,392 13,145,696 6,572,848 3,286,424 1,643,212 821,606 410,803 1,232,410 616,205 1,848,616 924,308 462,154 231,077 693,232 346,616 173,308 86,654 43,327 129,982 64,991 194,974 97,487 292,462 146,231 438,694 219,347 658,042 329,021 987,064 493,532 246,766 123,383 370,150

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