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Atlas › Integer Profiles › Node 24,677,961

24,677,961

3 × 7 × 11 × 47 × 2273
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 11 × 47 × 2273
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 41,914,368
Proper Divisor Sum 17,236,407
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #24677929 ← → #24677963

Radix Representation

Decimal 24677961
Binary 1011110001000111001001001 (25 bits)
Octal 0o136107111
Hexadecimal 0x1788E49

Divisor Catalog (32)

1 3 7 11 21 33 47 77 141 231 329 517 987 1,551 2,273 3,619 6,819 10,857 15,911 25,003 47,733 75,009 106,831 175,021 320,493 525,063 747,817 1,175,141 2,243,451 3,525,423 8,225,987 24,677,961

Collatz Trajectory (190 steps to reach 1)

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

24,677,961 74,033,884 37,016,942 18,508,471 55,525,414 27,762,707 83,288,122 41,644,061 124,932,184 62,466,092 31,233,046 15,616,523 46,849,570 23,424,785 70,274,356 35,137,178 17,568,589 52,705,768 26,352,884 13,176,442 6,588,221 19,764,664 9,882,332 4,941,166 2,470,583 7,411,750 3,705,875 11,117,626 5,558,813 16,676,440 8,338,220 4,169,110 2,084,555 6,253,666 3,126,833 9,380,500 4,690,250 2,345,125 7,035,376 3,517,688 1,758,844 879,422 439,711 1,319,134 659,567 1,978,702 989,351 2,968,054 1,484,027 4,452,082 2,226,041 6,678,124 3,339,062 1,669,531 5,008,594 2,504,297 7,512,892 3,756,446 1,878,223 5,634,670

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