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Atlas › Integer Profiles › Node 9,504,308

9,504,308

22 × 112 × 73 × 269
Deficient Even Composite

9,504,308 factors as 2^2 × 11^2 × 73 × 269. Its 36 positive divisors give a proper-divisor sum of 9,097,072, so this integer is deficient. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2^2 × 11^2 × 73 × 269
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 18,601,380
Proper Divisor Sum 9,097,072
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9504307 ← → #9504311

Radix Representation

Decimal 9504308
Binary 100100010000011000110100 (24 bits)
Octal 0o44203064
Hexadecimal 0x910634

Divisor Catalog (36)

1 2 4 11 22 44 73 121 146 242 269 292 484 538 803 1,076 1,606 2,959 3,212 5,918 8,833 11,836 17,666 19,637 32,549 35,332 39,274 65,098 78,548 130,196 216,007 432,014 864,028 2,376,077 4,752,154 9,504,308

Collatz Trajectory (194 steps to reach 1)

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

9,504,308 4,752,154 2,376,077 7,128,232 3,564,116 1,782,058 891,029 2,673,088 1,336,544 668,272 334,136 167,068 83,534 41,767 125,302 62,651 187,954 93,977 281,932 140,966 70,483 211,450 105,725 317,176 158,588 79,294 39,647 118,942 59,471 178,414 89,207 267,622 133,811 401,434 200,717 602,152 301,076 150,538 75,269 225,808 112,904 56,452 28,226 14,113 42,340 21,170 10,585 31,756 15,878 7,939 23,818 11,909 35,728 17,864 8,932 4,466 2,233 6,700 3,350 1,675

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