7,436,612

2² × 127 × 14639

7,436,612 factors as 2^2 × 127 × 14639. Its 12 positive divisors give a proper-divisor sum of 5,680,828, so this integer is deficient. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^2 × 127 × 14639

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,117,440

Proper Divisor Sum 5,680,828

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7436609 ← → #7436629

Radix Representation

Decimal	7436612
Binary	11100010111100101000100 (23 bits)
Octal	0o34274504
Hexadecimal	0x717944

Divisor Catalog (12)

1 2 4 127 254 508 14,639 29,278 58,556 1,859,153 3,718,306 7,436,612

Collatz Trajectory (80 steps to reach 1)

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

7,436,612 3,718,306 1,859,153 5,577,460 2,788,730 1,394,365 4,183,096 2,091,548 1,045,774 522,887 1,568,662 784,331 2,352,994 1,176,497 3,529,492 1,764,746 882,373 2,647,120 1,323,560 661,780 330,890 165,445 496,336 248,168 124,084 62,042 31,021 93,064 46,532 23,266 11,633 34,900 17,450 8,725 26,176 13,088 6,544 3,272 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37

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