λ
Sigma Notebook

1,473,612

22 × 3 × 7 × 53 × 331
Abundant Even Composite

1,473,612 is even and not a perfect square. Its factorization is 2^2 × 3 × 7 × 53 × 331 and its 48 divisors sum to 4,015,872.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 53 × 331
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,015,872
Proper Divisor Sum 2,542,260
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1473607 ← → #1473613

Radix Representation

Decimal 1473612
Binary 101100111110001001100 (21 bits)
Octal 0o5476114
Hexadecimal 0x167C4C

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 331 371 636 662 742 993 1,113 1,324 1,484 1,986 2,226 2,317 3,972 4,452 4,634 6,951 9,268 13,902 17,543 27,804 35,086 52,629 70,172 105,258 122,801 210,516 245,602 368,403 491,204 736,806 1,473,612

Collatz Trajectory (119 steps to reach 1)

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

1,473,612 736,806 368,403 1,105,210 552,605 1,657,816 828,908 414,454 207,227 621,682 310,841 932,524 466,262 233,131 699,394 349,697 1,049,092 524,546 262,273 786,820 393,410 196,705 590,116 295,058 147,529 442,588 221,294 110,647 331,942 165,971 497,914 248,957 746,872 373,436 186,718 93,359 280,078 140,039 420,118 210,059 630,178 315,089 945,268 472,634 236,317 708,952 354,476 177,238 88,619 265,858 132,929 398,788 199,394 99,697 299,092 149,546 74,773 224,320 112,160 56,080

More profiles

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