30,007,132

2² × 31 × 241993

30,007,132 factors as 2^2 × 31 × 241993. Its 12 positive divisors give a proper-divisor sum of 24,199,524, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^2 × 31 × 241993

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 54,206,656

Proper Divisor Sum 24,199,524

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #30007129 ← → #30007171

Radix Representation

Decimal	30007132
Binary	1110010011101111101011100 (25 bits)
Octal	0o162357534
Hexadecimal	0x1C9DF5C

Divisor Catalog (12)

1 2 4 31 62 124 241,993 483,986 967,972 7,501,783 15,003,566 30,007,132

Collatz Trajectory (136 steps to reach 1)

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

30,007,132 15,003,566 7,501,783 22,505,350 11,252,675 33,758,026 16,879,013 50,637,040 25,318,520 12,659,260 6,329,630 3,164,815 9,494,446 4,747,223 14,241,670 7,120,835 21,362,506 10,681,253 32,043,760 16,021,880 8,010,940 4,005,470 2,002,735 6,008,206 3,004,103 9,012,310 4,506,155 13,518,466 6,759,233 20,277,700 10,138,850 5,069,425 15,208,276 7,604,138 3,802,069 11,406,208 5,703,104 2,851,552 1,425,776 712,888 356,444 178,222 89,111 267,334 133,667 401,002 200,501 601,504 300,752 150,376 75,188 37,594 18,797 56,392 28,196 14,098 7,049 21,148 10,574 5,287

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