1,312,449

3 × 23² × 827

1,312,449 factors as 3 × 23^2 × 827. Its 12 positive divisors give a proper-divisor sum of 519,087, so this integer is deficient. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 3 × 23^2 × 827

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,831,536

Proper Divisor Sum 519,087

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1312411 ← → #1312459

Radix Representation

Decimal	1312449
Binary	101000000011011000001 (21 bits)
Octal	0o5003301
Hexadecimal	0x1406C1

Divisor Catalog (12)

1 3 23 69 529 827 1,587 2,481 19,021 57,063 437,483 1,312,449

Collatz Trajectory (147 steps to reach 1)

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

1,312,449 3,937,348 1,968,674 984,337 2,953,012 1,476,506 738,253 2,214,760 1,107,380 553,690 276,845 830,536 415,268 207,634 103,817 311,452 155,726 77,863 233,590 116,795 350,386 175,193 525,580 262,790 131,395 394,186 197,093 591,280 295,640 147,820 73,910 36,955 110,866 55,433 166,300 83,150 41,575 124,726 62,363 187,090 93,545 280,636 140,318 70,159 210,478 105,239 315,718 157,859 473,578 236,789 710,368 355,184 177,592 88,796 44,398 22,199 66,598 33,299 99,898 49,949

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