1,512,792

2³ × 3² × 21011

1,512,792 has digital root 9. The neighboring primes are 1512787 and 1512809; its proper-divisor sum differs from the starting integer by 1,071,756.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 21011

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,097,340

Proper Divisor Sum 2,584,548

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1512787 ← → #1512809

Radix Representation

Decimal	1512792
Binary	101110001010101011000 (21 bits)
Octal	0o5612530
Hexadecimal	0x171558

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 21,011 42,022 63,033 84,044 126,066 168,088 189,099 252,132 378,198 504,264 756,396 1,512,792

Collatz Trajectory (132 steps to reach 1)

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

1,512,792 756,396 378,198 189,099 567,298 283,649 850,948 425,474 212,737 638,212 319,106 159,553 478,660 239,330 119,665 358,996 179,498 89,749 269,248 134,624 67,312 33,656 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502 22,751 68,254 34,127 102,382 51,191 153,574 76,787 230,362 115,181 345,544

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