λ
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Atlas › Integer Profiles › Node 30,006,764

30,006,764

22 × 29 × 139 × 1861
Deficient Even Composite

30,006,764 factors as 2^2 × 29 × 139 × 1861. Its 24 positive divisors give a proper-divisor sum of 24,736,036, so this integer is deficient. The Collatz stopping time is 281 steps.

Prime Factor Structure

Factorization String 2^2 × 29 × 139 × 1861
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 54,742,800
Proper Divisor Sum 24,736,036
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #30006763 ← → #30006827

Radix Representation

Decimal 30006764
Binary 1110010011101110111101100 (25 bits)
Octal 0o162356754
Hexadecimal 0x1C9DDEC

Divisor Catalog (24)

1 2 4 29 58 116 139 278 556 1,861 3,722 4,031 7,444 8,062 16,124 53,969 107,938 215,876 258,679 517,358 1,034,716 7,501,691 15,003,382 30,006,764

Collatz Trajectory (281 steps to reach 1)

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

30,006,764 15,003,382 7,501,691 22,505,074 11,252,537 33,757,612 16,878,806 8,439,403 25,318,210 12,659,105 37,977,316 18,988,658 9,494,329 28,482,988 14,241,494 7,120,747 21,362,242 10,681,121 32,043,364 16,021,682 8,010,841 24,032,524 12,016,262 6,008,131 18,024,394 9,012,197 27,036,592 13,518,296 6,759,148 3,379,574 1,689,787 5,069,362 2,534,681 7,604,044 3,802,022 1,901,011 5,703,034 2,851,517 8,554,552 4,277,276 2,138,638 1,069,319 3,207,958 1,603,979 4,811,938 2,405,969 7,217,908 3,608,954 1,804,477 5,413,432 2,706,716 1,353,358 676,679 2,030,038 1,015,019 3,045,058 1,522,529 4,567,588 2,283,794 1,141,897

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