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Atlas › Integer Profiles › Node 29,802,456

29,802,456

23 × 32 × 413923
Abundant Even Composite

29,802,456 factors as 2^3 × 3^2 × 413923. Its 24 positive divisors give a proper-divisor sum of 50,912,724, so this integer is abundant. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 413923
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 80,715,180
Proper Divisor Sum 50,912,724
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #29802433 ← → #29802467

Radix Representation

Decimal 29802456
Binary 1110001101011111111011000 (25 bits)
Octal 0o161537730
Hexadecimal 0x1C6BFD8

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 413,923 827,846 1,241,769 1,655,692 2,483,538 3,311,384 3,725,307 4,967,076 7,450,614 9,934,152 14,901,228 29,802,456

Collatz Trajectory (144 steps to reach 1)

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

29,802,456 14,901,228 7,450,614 3,725,307 11,175,922 5,587,961 16,763,884 8,381,942 4,190,971 12,572,914 6,286,457 18,859,372 9,429,686 4,714,843 14,144,530 7,072,265 21,216,796 10,608,398 5,304,199 15,912,598 7,956,299 23,868,898 11,934,449 35,803,348 17,901,674 8,950,837 26,852,512 13,426,256 6,713,128 3,356,564 1,678,282 839,141 2,517,424 1,258,712 629,356 314,678 157,339 472,018 236,009 708,028 354,014 177,007 531,022 265,511 796,534 398,267 1,194,802 597,401 1,792,204 896,102 448,051 1,344,154 672,077 2,016,232 1,008,116 504,058 252,029 756,088 378,044 189,022

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