7,104,925

5² × 37 × 7681

Starting at 7,104,925, the Collatz iteration reaches 1 after 204 steps. The first transition is 21314776; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 37 × 7681

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,049,396

Proper Divisor Sum 1,944,471

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7104919 ← → #7104941

Radix Representation

Decimal	7104925
Binary	11011000110100110011101 (23 bits)
Octal	0o33064635
Hexadecimal	0x6C699D

Divisor Catalog (12)

1 5 25 37 185 925 7,681 38,405 192,025 284,197 1,420,985 7,104,925

Collatz Trajectory (204 steps to reach 1)

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

7,104,925 21,314,776 10,657,388 5,328,694 2,664,347 7,993,042 3,996,521 11,989,564 5,994,782 2,997,391 8,992,174 4,496,087 13,488,262 6,744,131 20,232,394 10,116,197 30,348,592 15,174,296 7,587,148 3,793,574 1,896,787 5,690,362 2,845,181 8,535,544 4,267,772 2,133,886 1,066,943 3,200,830 1,600,415 4,801,246 2,400,623 7,201,870 3,600,935 10,802,806 5,401,403 16,204,210 8,102,105 24,306,316 12,153,158 6,076,579 18,229,738 9,114,869 27,344,608 13,672,304 6,836,152 3,418,076 1,709,038 854,519 2,563,558 1,281,779 3,845,338 1,922,669 5,768,008 2,884,004 1,442,002 721,001 2,163,004 1,081,502 540,751 1,622,254

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