30,001,117

37 × 353 × 2297

30,001,117 factors as 37 × 353 × 2297. Its 8 positive divisors give a proper-divisor sum of 911,579, so this integer is deficient. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 37 × 353 × 2297

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 30,912,696

Proper Divisor Sum 911,579

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #30001093 ← → #30001123

Radix Representation

Decimal	30001117
Binary	1110010011100011111011101 (25 bits)
Octal	0o162343735
Hexadecimal	0x1C9C7DD

Divisor Catalog (8)

1 37 353 2,297 13,061 84,989 810,841 30,001,117

Collatz Trajectory (162 steps to reach 1)

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

30,001,117 90,003,352 45,001,676 22,500,838 11,250,419 33,751,258 16,875,629 50,626,888 25,313,444 12,656,722 6,328,361 18,985,084 9,492,542 4,746,271 14,238,814 7,119,407 21,358,222 10,679,111 32,037,334 16,018,667 48,056,002 24,028,001 72,084,004 36,042,002 18,021,001 54,063,004 27,031,502 13,515,751 40,547,254 20,273,627 60,820,882 30,410,441 91,231,324 45,615,662 22,807,831 68,423,494 34,211,747 102,635,242 51,317,621 153,952,864 76,976,432 38,488,216 19,244,108 9,622,054 4,811,027 14,433,082 7,216,541 21,649,624 10,824,812 5,412,406 2,706,203 8,118,610 4,059,305 12,177,916 6,088,958 3,044,479 9,133,438 4,566,719 13,700,158 6,850,079

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