9,409,348

2² × 13 × 180949

9,409,348 factors as 2^2 × 13 × 180949. Its 12 positive divisors give a proper-divisor sum of 8,323,752, so this integer is deficient. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 180949

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,733,100

Proper Divisor Sum 8,323,752

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #9409339 ← → #9409357

Radix Representation

Decimal	9409348
Binary	100011111001001101000100 (24 bits)
Octal	0o43711504
Hexadecimal	0x8F9344

Divisor Catalog (12)

1 2 4 13 26 52 180,949 361,898 723,796 2,352,337 4,704,674 9,409,348

Collatz Trajectory (150 steps to reach 1)

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

9,409,348 4,704,674 2,352,337 7,057,012 3,528,506 1,764,253 5,292,760 2,646,380 1,323,190 661,595 1,984,786 992,393 2,977,180 1,488,590 744,295 2,232,886 1,116,443 3,349,330 1,674,665 5,023,996 2,511,998 1,255,999 3,767,998 1,883,999 5,651,998 2,825,999 8,477,998 4,238,999 12,716,998 6,358,499 19,075,498 9,537,749 28,613,248 14,306,624 7,153,312 3,576,656 1,788,328 894,164 447,082 223,541 670,624 335,312 167,656 83,828 41,914 20,957 62,872 31,436 15,718 7,859 23,578 11,789 35,368 17,684 8,842 4,421 13,264 6,632 3,316 1,658

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