7,505,044

2² × 1876261

Starting at 7,505,044, the Collatz iteration reaches 1 after 173 steps. The first transition is 3752522; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 1876261

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 13,133,834

Proper Divisor Sum 5,628,790

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #7505033 ← → #7505051

Radix Representation

Decimal	7505044
Binary	11100101000010010010100 (23 bits)
Octal	0o34502224
Hexadecimal	0x728494

Divisor Catalog (6)

1 2 4 1,876,261 3,752,522 7,505,044

Collatz Trajectory (173 steps to reach 1)

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

7,505,044 3,752,522 1,876,261 5,628,784 2,814,392 1,407,196 703,598 351,799 1,055,398 527,699 1,583,098 791,549 2,374,648 1,187,324 593,662 296,831 890,494 445,247 1,335,742 667,871 2,003,614 1,001,807 3,005,422 1,502,711 4,508,134 2,254,067 6,762,202 3,381,101 10,143,304 5,071,652 2,535,826 1,267,913 3,803,740 1,901,870 950,935 2,852,806 1,426,403 4,279,210 2,139,605 6,418,816 3,209,408 1,604,704 802,352 401,176 200,588 100,294 50,147 150,442 75,221 225,664 112,832 56,416 28,208 14,104 7,052 3,526 1,763 5,290 2,645 7,936

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