1,527,804

2² × 3² × 31 × 37²

1,527,804 has the prime decomposition 2^2 × 3^2 × 31 × 37^2. Its 4 distinct prime factors produce 54 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 31 × 37^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 54

Divisor Sum (σ) 4,097,184

Proper Divisor Sum 2,569,380

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1527803 ← → #1527811

Radix Representation

Decimal	1527804
Binary	101110100111111111100 (21 bits)
Octal	0o5647774
Hexadecimal	0x174FFC

Divisor Catalog (54)

1 2 3 4 6 9 12 18 31 36 37 62 74 93 111 124 148 186 222 279 333 372 444 558 666 1,116 1,147 1,332 1,369 2,294 2,738 3,441 4,107 4,588 5,476 6,882 8,214 10,323 12,321 13,764 16,428 20,646 24,642 41,292 42,439 49,284 84,878 127,317 169,756 254,634 381,951 509,268 763,902 1,527,804

Collatz Trajectory (132 steps to reach 1)

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

1,527,804 763,902 381,951 1,145,854 572,927 1,718,782 859,391 2,578,174 1,289,087 3,867,262 1,933,631 5,800,894 2,900,447 8,701,342 4,350,671 13,052,014 6,526,007 19,578,022 9,789,011 29,367,034 14,683,517 44,050,552 22,025,276 11,012,638 5,506,319 16,518,958 8,259,479 24,778,438 12,389,219 37,167,658 18,583,829 55,751,488 27,875,744 13,937,872 6,968,936 3,484,468 1,742,234 871,117 2,613,352 1,306,676 653,338 326,669 980,008 490,004 245,002 122,501 367,504 183,752 91,876 45,938 22,969 68,908 34,454 17,227 51,682 25,841 77,524 38,762 19,381 58,144

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