30,006,002

2 × 13 × 43 × 26839

30,006,002 factors as 2 × 13 × 43 × 26839. Its 16 positive divisors give a proper-divisor sum of 19,594,318, so this integer is deficient. The Collatz stopping time is 206 steps.

Prime Factor Structure

Factorization String 2 × 13 × 43 × 26839

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 49,600,320

Proper Divisor Sum 19,594,318

Digit Sum / Digital Root 11 (Root: 2)

Adjacent Primes #30005977 ← → #30006013

Radix Representation

Decimal	30006002
Binary	1110010011101101011110010 (25 bits)
Octal	0o162355362
Hexadecimal	0x1C9DAF2

Divisor Catalog (16)

1 2 13 26 43 86 559 1,118 26,839 53,678 348,907 697,814 1,154,077 2,308,154 15,003,001 30,006,002

Collatz Trajectory (206 steps to reach 1)

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

30,006,002 15,003,001 45,009,004 22,504,502 11,252,251 33,756,754 16,878,377 50,635,132 25,317,566 12,658,783 37,976,350 18,988,175 56,964,526 28,482,263 85,446,790 42,723,395 128,170,186 64,085,093 192,255,280 96,127,640 48,063,820 24,031,910 12,015,955 36,047,866 18,023,933 54,071,800 27,035,900 13,517,950 6,758,975 20,276,926 10,138,463 30,415,390 15,207,695 45,623,086 22,811,543 68,434,630 34,217,315 102,651,946 51,325,973 153,977,920 76,988,960 38,494,480 19,247,240 9,623,620 4,811,810 2,405,905 7,217,716 3,608,858 1,804,429 5,413,288 2,706,644 1,353,322 676,661 2,029,984 1,014,992 507,496 253,748 126,874 63,437 190,312

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