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Atlas › Integer Profiles › Node 8,973,615

8,973,615

3 × 5 × 72 × 29 × 421
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 29 × 421
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,318,880
Proper Divisor Sum 8,345,265
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8973593 ← → #8973617

Radix Representation

Decimal 8973615
Binary 100010001110110100101111 (24 bits)
Octal 0o42166457
Hexadecimal 0x88ED2F

Divisor Catalog (48)

1 3 5 7 15 21 29 35 49 87 105 145 147 203 245 421 435 609 735 1,015 1,263 1,421 2,105 2,947 3,045 4,263 6,315 7,105 8,841 12,209 14,735 20,629 21,315 36,627 44,205 61,045 61,887 85,463 103,145 183,135 256,389 309,435 427,315 598,241 1,281,945 1,794,723 2,991,205 8,973,615

Collatz Trajectory (318 steps to reach 1)

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

8,973,615 26,920,846 13,460,423 40,381,270 20,190,635 60,571,906 30,285,953 90,857,860 45,428,930 22,714,465 68,143,396 34,071,698 17,035,849 51,107,548 25,553,774 12,776,887 38,330,662 19,165,331 57,495,994 28,747,997 86,243,992 43,121,996 21,560,998 10,780,499 32,341,498 16,170,749 48,512,248 24,256,124 12,128,062 6,064,031 18,192,094 9,096,047 27,288,142 13,644,071 40,932,214 20,466,107 61,398,322 30,699,161 92,097,484 46,048,742 23,024,371 69,073,114 34,536,557 103,609,672 51,804,836 25,902,418 12,951,209 38,853,628 19,426,814 9,713,407 29,140,222 14,570,111 43,710,334 21,855,167 65,565,502 32,782,751 98,348,254 49,174,127 147,522,382 73,761,191

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