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Atlas › Integer Profiles › Node 3,079,552

3,079,552

27 × 72 × 491
Abundant Even Composite

3,079,552 factors as 2^7 × 7^2 × 491. Its 48 positive divisors give a proper-divisor sum of 4,071,668, so this integer is abundant. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 2^7 × 7^2 × 491
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,151,220
Proper Divisor Sum 4,071,668
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3079543 ← → #3079553

Radix Representation

Decimal 3079552
Binary 1011101111110110000000 (22 bits)
Octal 0o13576600
Hexadecimal 0x2EFD80

Divisor Catalog (48)

1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 491 784 896 982 1,568 1,964 3,136 3,437 3,928 6,272 6,874 7,856 13,748 15,712 24,059 27,496 31,424 48,118 54,992 62,848 96,236 109,984 192,472 219,968 384,944 439,936 769,888 1,539,776 3,079,552

Collatz Trajectory (102 steps to reach 1)

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

3,079,552 1,539,776 769,888 384,944 192,472 96,236 48,118 24,059 72,178 36,089 108,268 54,134 27,067 81,202 40,601 121,804 60,902 30,451 91,354 45,677 137,032 68,516 34,258 17,129 51,388 25,694 12,847 38,542 19,271 57,814 28,907 86,722 43,361 130,084 65,042 32,521 97,564 48,782 24,391 73,174 36,587 109,762 54,881 164,644 82,322 41,161 123,484 61,742 30,871 92,614 46,307 138,922 69,461 208,384 104,192 52,096 26,048 13,024 6,512 3,256

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