9,529,609

37² × 6961

9,529,609 factors as 37^2 × 6961. Its 6 positive divisors give a proper-divisor sum of 265,925, so this integer is deficient. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 37^2 × 6961

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 9,795,534

Proper Divisor Sum 265,925

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #9529607 ← → #9529627

Radix Representation

Decimal	9529609
Binary	100100010110100100001001 (24 bits)
Octal	0o44264411
Hexadecimal	0x916909

Divisor Catalog (6)

1 37 1,369 6,961 257,557 9,529,609

Collatz Trajectory (194 steps to reach 1)

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

9,529,609 28,588,828 14,294,414 7,147,207 21,441,622 10,720,811 32,162,434 16,081,217 48,243,652 24,121,826 12,060,913 36,182,740 18,091,370 9,045,685 27,137,056 13,568,528 6,784,264 3,392,132 1,696,066 848,033 2,544,100 1,272,050 636,025 1,908,076 954,038 477,019 1,431,058 715,529 2,146,588 1,073,294 536,647 1,609,942 804,971 2,414,914 1,207,457 3,622,372 1,811,186 905,593 2,716,780 1,358,390 679,195 2,037,586 1,018,793 3,056,380 1,528,190 764,095 2,292,286 1,146,143 3,438,430 1,719,215 5,157,646 2,578,823 7,736,470 3,868,235 11,604,706 5,802,353 17,407,060 8,703,530 4,351,765 13,055,296

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