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Atlas › Integer Profiles › Node 3,336,768

3,336,768

26 × 33 × 1931
Abundant Even Composite

3,336,768 factors as 2^6 × 3^3 × 1931. Its 56 positive divisors give a proper-divisor sum of 6,477,792, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^6 × 3^3 × 1931
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 9,814,560
Proper Divisor Sum 6,477,792
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3336731 ← → #3336779

Radix Representation

Decimal 3336768
Binary 1100101110101001000000 (22 bits)
Octal 0o14565100
Hexadecimal 0x32EA40

Divisor Catalog (56)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1,728 1,931 3,862 5,793 7,724 11,586 15,448 17,379 23,172 30,896 34,758 46,344 52,137 61,792 69,516 92,688 104,274 123,584 139,032 185,376 208,548 278,064 370,752 417,096 556,128 834,192 1,112,256 1,668,384 3,336,768

Collatz Trajectory (115 steps to reach 1)

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

3,336,768 1,668,384 834,192 417,096 208,548 104,274 52,137 156,412 78,206 39,103 117,310 58,655 175,966 87,983 263,950 131,975 395,926 197,963 593,890 296,945 890,836 445,418 222,709 668,128 334,064 167,032 83,516 41,758 20,879 62,638 31,319 93,958 46,979 140,938 70,469 211,408 105,704 52,852 26,426 13,213 39,640 19,820 9,910 4,955 14,866 7,433 22,300 11,150 5,575 16,726 8,363 25,090 12,545 37,636 18,818 9,409 28,228 14,114 7,057 21,172

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