3,136,401

3⁵ × 12907

3,136,401 factors as 3^5 × 12907. Its 12 positive divisors give a proper-divisor sum of 1,562,111, so this integer is deficient. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 3^5 × 12907

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,698,512

Proper Divisor Sum 1,562,111

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3136373 ← → #3136403

Radix Representation

Decimal	3136401
Binary	1011111101101110010001 (22 bits)
Octal	0o13755621
Hexadecimal	0x2FDB91

Divisor Catalog (12)

1 3 9 27 81 243 12,907 38,721 116,163 348,489 1,045,467 3,136,401

Collatz Trajectory (177 steps to reach 1)

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

3,136,401 9,409,204 4,704,602 2,352,301 7,056,904 3,528,452 1,764,226 882,113 2,646,340 1,323,170 661,585 1,984,756 992,378 496,189 1,488,568 744,284 372,142 186,071 558,214 279,107 837,322 418,661 1,255,984 627,992 313,996 156,998 78,499 235,498 117,749 353,248 176,624 88,312 44,156 22,078 11,039 33,118 16,559 49,678 24,839 74,518 37,259 111,778 55,889 167,668 83,834 41,917 125,752 62,876 31,438 15,719 47,158 23,579 70,738 35,369 106,108 53,054 26,527 79,582 39,791 119,374

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