9,507,409

37 × 256957

9,507,409 factors as 37 × 256957. Its 4 positive divisors give a proper-divisor sum of 256,995, so this integer is deficient. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 37 × 256957

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 9,764,404

Proper Divisor Sum 256,995

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #9507383 ← → #9507419

Radix Representation

Decimal	9507409
Binary	100100010001001001010001 (24 bits)
Octal	0o44211121
Hexadecimal	0x911251

Divisor Catalog (4)

1 37 256,957 9,507,409

Collatz Trajectory (194 steps to reach 1)

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

9,507,409 28,522,228 14,261,114 7,130,557 21,391,672 10,695,836 5,347,918 2,673,959 8,021,878 4,010,939 12,032,818 6,016,409 18,049,228 9,024,614 4,512,307 13,536,922 6,768,461 20,305,384 10,152,692 5,076,346 2,538,173 7,614,520 3,807,260 1,903,630 951,815 2,855,446 1,427,723 4,283,170 2,141,585 6,424,756 3,212,378 1,606,189 4,818,568 2,409,284 1,204,642 602,321 1,806,964 903,482 451,741 1,355,224 677,612 338,806 169,403 508,210 254,105 762,316 381,158 190,579 571,738 285,869 857,608 428,804 214,402 107,201 321,604 160,802 80,401 241,204 120,602 60,301

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