λ
Match Zalai

8,518,759

2003 × 4253
Deficient Odd Composite

8,518,759 factors as 2003 × 4253. Its 4 positive divisors give a proper-divisor sum of 6,257, so this integer is deficient. The Collatz stopping time is 243 steps.

Prime Factor Structure

Factorization String 2003 × 4253
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,525,016
Proper Divisor Sum 6,257
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #8518747 ← → #8518771

Radix Representation

Decimal 8518759
Binary 100000011111110001100111 (24 bits)
Octal 0o40376147
Hexadecimal 0x81FC67

Divisor Catalog (4)

1 2,003 4,253 8,518,759

Collatz Trajectory (243 steps to reach 1)

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

8,518,759 25,556,278 12,778,139 38,334,418 19,167,209 57,501,628 28,750,814 14,375,407 43,126,222 21,563,111 64,689,334 32,344,667 97,034,002 48,517,001 145,551,004 72,775,502 36,387,751 109,163,254 54,581,627 163,744,882 81,872,441 245,617,324 122,808,662 61,404,331 184,212,994 92,106,497 276,319,492 138,159,746 69,079,873 207,239,620 103,619,810 51,809,905 155,429,716 77,714,858 38,857,429 116,572,288 58,286,144 29,143,072 14,571,536 7,285,768 3,642,884 1,821,442 910,721 2,732,164 1,366,082 683,041 2,049,124 1,024,562 512,281 1,536,844 768,422 384,211 1,152,634 576,317 1,728,952 864,476 432,238 216,119 648,358 324,179

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