7,502,909

29 × 258721

Starting at 7,502,909, the Collatz iteration reaches 1 after 173 steps. The first transition is 22508728; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 29 × 258721

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,761,660

Proper Divisor Sum 258,751

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7502881 ← → #7502977

Radix Representation

Decimal	7502909
Binary	11100100111110000111101 (23 bits)
Octal	0o34476075
Hexadecimal	0x727C3D

Divisor Catalog (4)

1 29 258,721 7,502,909

Collatz Trajectory (173 steps to reach 1)

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

7,502,909 22,508,728 11,254,364 5,627,182 2,813,591 8,440,774 4,220,387 12,661,162 6,330,581 18,991,744 9,495,872 4,747,936 2,373,968 1,186,984 593,492 296,746 148,373 445,120 222,560 111,280 55,640 27,820 13,910 6,955 20,866 10,433 31,300 15,650 7,825 23,476 11,738 5,869 17,608 8,804 4,402 2,201 6,604 3,302 1,651 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221

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