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Atlas › Integer Profiles › Node 31,228,784

31,228,784

24 × 1091 × 1789
Deficient Even Composite

Prime Factor Structure

Factorization String 2^4 × 1091 × 1789
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 60,595,080
Proper Divisor Sum 29,366,296
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #31228781 ← → #31228787

Radix Representation

Decimal 31228784
Binary 1110111001000001101110000 (25 bits)
Octal 0o167101560
Hexadecimal 0x1DC8370

Divisor Catalog (20)

1 2 4 8 16 1,091 1,789 2,182 3,578 4,364 7,156 8,728 14,312 17,456 28,624 1,951,799 3,903,598 7,807,196 15,614,392 31,228,784

Collatz Trajectory (126 steps to reach 1)

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

31,228,784 15,614,392 7,807,196 3,903,598 1,951,799 5,855,398 2,927,699 8,783,098 4,391,549 13,174,648 6,587,324 3,293,662 1,646,831 4,940,494 2,470,247 7,410,742 3,705,371 11,116,114 5,558,057 16,674,172 8,337,086 4,168,543 12,505,630 6,252,815 18,758,446 9,379,223 28,137,670 14,068,835 42,206,506 21,103,253 63,309,760 31,654,880 15,827,440 7,913,720 3,956,860 1,978,430 989,215 2,967,646 1,483,823 4,451,470 2,225,735 6,677,206 3,338,603 10,015,810 5,007,905 15,023,716 7,511,858 3,755,929 11,267,788 5,633,894 2,816,947 8,450,842 4,225,421 12,676,264 6,338,132 3,169,066 1,584,533 4,753,600 2,376,800 1,188,400

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