5,100,437

73 × 109 × 641

Starting at 5,100,437, the Collatz iteration reaches 1 after 144 steps. The first transition is 15301312; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 73 × 109 × 641

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,225,880

Proper Divisor Sum 125,443

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #5100409 ← → #5100467

Radix Representation

Decimal	5100437
Binary	10011011101001110010101 (23 bits)
Octal	0o23351625
Hexadecimal	0x4DD395

Divisor Catalog (8)

1 73 109 641 7,957 46,793 69,869 5,100,437

Collatz Trajectory (144 steps to reach 1)

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

5,100,437 15,301,312 7,650,656 3,825,328 1,912,664 956,332 478,166 239,083 717,250 358,625 1,075,876 537,938 268,969 806,908 403,454 201,727 605,182 302,591 907,774 453,887 1,361,662 680,831 2,042,494 1,021,247 3,063,742 1,531,871 4,595,614 2,297,807 6,893,422 3,446,711 10,340,134 5,170,067 15,510,202 7,755,101 23,265,304 11,632,652 5,816,326 2,908,163 8,724,490 4,362,245 13,086,736 6,543,368 3,271,684 1,635,842 817,921 2,453,764 1,226,882 613,441 1,840,324 920,162 460,081 1,380,244 690,122 345,061 1,035,184 517,592 258,796 129,398 64,699 194,098

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