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Atlas › Integer Profiles › Node 30,249,056

30,249,056

25 × 31 × 30493
Abundant Even Composite

30,249,056 factors as 2^5 × 31 × 30493. Its 24 positive divisors give a proper-divisor sum of 31,226,848, so this integer is abundant. The Collatz stopping time is 206 steps.

Prime Factor Structure

Factorization String 2^5 × 31 × 30493
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 61,475,904
Proper Divisor Sum 31,226,848
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #30249047 ← → #30249067

Radix Representation

Decimal 30249056
Binary 1110011011001000001100000 (25 bits)
Octal 0o163310140
Hexadecimal 0x1CD9060

Divisor Catalog (24)

1 2 4 8 16 31 32 62 124 248 496 992 30,493 60,986 121,972 243,944 487,888 945,283 975,776 1,890,566 3,781,132 7,562,264 15,124,528 30,249,056

Collatz Trajectory (206 steps to reach 1)

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

30,249,056 15,124,528 7,562,264 3,781,132 1,890,566 945,283 2,835,850 1,417,925 4,253,776 2,126,888 1,063,444 531,722 265,861 797,584 398,792 199,396 99,698 49,849 149,548 74,774 37,387 112,162 56,081 168,244 84,122 42,061 126,184 63,092 31,546 15,773 47,320 23,660 11,830 5,915 17,746 8,873 26,620 13,310 6,655 19,966 9,983 29,950 14,975 44,926 22,463 67,390 33,695 101,086 50,543 151,630 75,815 227,446 113,723 341,170 170,585 511,756 255,878 127,939 383,818 191,909

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