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Atlas › Integer Profiles › Node 49,100,745

49,100,745

3 × 5 × 23 × 31 × 4591
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 23 × 31 × 4591
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 84,639,744
Proper Divisor Sum 35,538,999
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #49100729 ← → #49100767

Radix Representation

Decimal 49100745
Binary 10111011010011011111001001 (26 bits)
Octal 0o273233711
Hexadecimal 0x2ED37C9

Divisor Catalog (32)

1 3 5 15 23 31 69 93 115 155 345 465 713 2,139 3,565 4,591 10,695 13,773 22,955 68,865 105,593 142,321 316,779 426,963 527,965 711,605 1,583,895 2,134,815 3,273,383 9,820,149 16,366,915 49,100,745

Collatz Trajectory (191 steps to reach 1)

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

49,100,745 147,302,236 73,651,118 36,825,559 110,476,678 55,238,339 165,715,018 82,857,509 248,572,528 124,286,264 62,143,132 31,071,566 15,535,783 46,607,350 23,303,675 69,911,026 34,955,513 104,866,540 52,433,270 26,216,635 78,649,906 39,324,953 117,974,860 58,987,430 29,493,715 88,481,146 44,240,573 132,721,720 66,360,860 33,180,430 16,590,215 49,770,646 24,885,323 74,655,970 37,327,985 111,983,956 55,991,978 27,995,989 83,987,968 41,993,984 20,996,992 10,498,496 5,249,248 2,624,624 1,312,312 656,156 328,078 164,039 492,118 246,059 738,178 369,089 1,107,268 553,634 276,817 830,452 415,226 207,613 622,840 311,420

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