λ
Sigma Notebook

8,472,537

32 × 19 × 49547
Deficient Odd Composite

8,472,537 is odd and not a perfect square. Its factorization is 3^2 × 19 × 49547 and its 12 divisors sum to 12,882,480.

Prime Factor Structure

Factorization String 3^2 × 19 × 49547
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,882,480
Proper Divisor Sum 4,409,943
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8472523 ← → #8472539

Radix Representation

Decimal 8472537
Binary 100000010100011111011001 (24 bits)
Octal 0o40243731
Hexadecimal 0x8147D9

Divisor Catalog (12)

1 3 9 19 57 171 49,547 148,641 445,923 941,393 2,824,179 8,472,537

Collatz Trajectory (199 steps to reach 1)

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

8,472,537 25,417,612 12,708,806 6,354,403 19,063,210 9,531,605 28,594,816 14,297,408 7,148,704 3,574,352 1,787,176 893,588 446,794 223,397 670,192 335,096 167,548 83,774 41,887 125,662 62,831 188,494 94,247 282,742 141,371 424,114 212,057 636,172 318,086 159,043 477,130 238,565 715,696 357,848 178,924 89,462 44,731 134,194 67,097 201,292 100,646 50,323 150,970 75,485 226,456 113,228 56,614 28,307 84,922 42,461 127,384 63,692 31,846 15,923 47,770 23,885 71,656 35,828 17,914 8,957

More profiles

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