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Atlas › Integer Profiles › Node 58,208,768

58,208,768

29 × 23 × 4943
Abundant Even Composite

58,208,768 factors as 2^9 × 23 × 4943. Its 40 positive divisors give a proper-divisor sum of 63,176,320, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^9 × 23 × 4943
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 121,385,088
Proper Divisor Sum 63,176,320
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #58208747 ← → #58208779

Radix Representation

Decimal 58208768
Binary 11011110000011001000000000 (26 bits)
Octal 0o336031000
Hexadecimal 0x3783200

Divisor Catalog (40)

1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 736 1,472 2,944 4,943 5,888 9,886 11,776 19,772 39,544 79,088 113,689 158,176 227,378 316,352 454,756 632,704 909,512 1,265,408 1,819,024 2,530,816 3,638,048 7,276,096 14,552,192 29,104,384 58,208,768

Collatz Trajectory (207 steps to reach 1)

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

58,208,768 29,104,384 14,552,192 7,276,096 3,638,048 1,819,024 909,512 454,756 227,378 113,689 341,068 170,534 85,267 255,802 127,901 383,704 191,852 95,926 47,963 143,890 71,945 215,836 107,918 53,959 161,878 80,939 242,818 121,409 364,228 182,114 91,057 273,172 136,586 68,293 204,880 102,440 51,220 25,610 12,805 38,416 19,208 9,604 4,802 2,401 7,204 3,602 1,801 5,404 2,702 1,351 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711

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