9,507,009

3 × 73 × 43411

9,507,009 factors as 3 × 73 × 43411. Its 8 positive divisors give a proper-divisor sum of 3,342,943, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 3 × 73 × 43411

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,849,952

Proper Divisor Sum 3,342,943

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9507007 ← → #9507031

Radix Representation

Decimal	9507009
Binary	100100010001000011000001 (24 bits)
Octal	0o44210301
Hexadecimal	0x9110C1

Divisor Catalog (8)

1 3 73 219 43,411 130,233 3,169,003 9,507,009

Collatz Trajectory (124 steps to reach 1)

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

9,507,009 28,521,028 14,260,514 7,130,257 21,390,772 10,695,386 5,347,693 16,043,080 8,021,540 4,010,770 2,005,385 6,016,156 3,008,078 1,504,039 4,512,118 2,256,059 6,768,178 3,384,089 10,152,268 5,076,134 2,538,067 7,614,202 3,807,101 11,421,304 5,710,652 2,855,326 1,427,663 4,282,990 2,141,495 6,424,486 3,212,243 9,636,730 4,818,365 14,455,096 7,227,548 3,613,774 1,806,887 5,420,662 2,710,331 8,130,994 4,065,497 12,196,492 6,098,246 3,049,123 9,147,370 4,573,685 13,721,056 6,860,528 3,430,264 1,715,132 857,566 428,783 1,286,350 643,175 1,929,526 964,763 2,894,290 1,447,145 4,341,436 2,170,718

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