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Atlas › Integer Profiles › Node 30,005,752

30,005,752

23 × 7 × 383 × 1399
Abundant Even Composite

30,005,752 factors as 2^3 × 7 × 383 × 1399. Its 32 positive divisors give a proper-divisor sum of 34,506,248, so this integer is abundant. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 383 × 1399
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 64,512,000
Proper Divisor Sum 34,506,248
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #30005743 ← → #30005753

Radix Representation

Decimal 30005752
Binary 1110010011101100111111000 (25 bits)
Octal 0o162354770
Hexadecimal 0x1C9D9F8

Divisor Catalog (32)

1 2 4 7 8 14 28 56 383 766 1,399 1,532 2,681 2,798 3,064 5,362 5,596 9,793 10,724 11,192 19,586 21,448 39,172 78,344 535,817 1,071,634 2,143,268 3,750,719 4,286,536 7,501,438 15,002,876 30,005,752

Collatz Trajectory (162 steps to reach 1)

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

30,005,752 15,002,876 7,501,438 3,750,719 11,252,158 5,626,079 16,878,238 8,439,119 25,317,358 12,658,679 37,976,038 18,988,019 56,964,058 28,482,029 85,446,088 42,723,044 21,361,522 10,680,761 32,042,284 16,021,142 8,010,571 24,031,714 12,015,857 36,047,572 18,023,786 9,011,893 27,035,680 13,517,840 6,758,920 3,379,460 1,689,730 844,865 2,534,596 1,267,298 633,649 1,900,948 950,474 475,237 1,425,712 712,856 356,428 178,214 89,107 267,322 133,661 400,984 200,492 100,246 50,123 150,370 75,185 225,556 112,778 56,389 169,168 84,584 42,292 21,146 10,573 31,720

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