1,513,288

2³ × 7 × 61 × 443

1,513,288 factors as 2^3 × 7 × 61 × 443. Its 32 positive divisors give a proper-divisor sum of 1,790,072, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 61 × 443

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 3,303,360

Proper Divisor Sum 1,790,072

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #1513277 ← → #1513319

Radix Representation

Decimal	1513288
Binary	101110001011101001000 (21 bits)
Octal	0o5613510
Hexadecimal	0x171748

Divisor Catalog (32)

Collatz Trajectory (88 steps to reach 1)

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

1,513,288 756,644 378,322 189,161 567,484 283,742 141,871 425,614 212,807 638,422 319,211 957,634 478,817 1,436,452 718,226 359,113 1,077,340 538,670 269,335 808,006 404,003 1,212,010 606,005 1,818,016 909,008 454,504 227,252 113,626 56,813 170,440 85,220 42,610 21,305 63,916 31,958 15,979 47,938 23,969 71,908 35,954 17,977 53,932 26,966 13,483 40,450 20,225 60,676 30,338 15,169 45,508 22,754 11,377 34,132 17,066 8,533 25,600 12,800 6,400 3,200 1,600

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