λ
Sigma Notebook

6,550,984

23 × 11 × 17 × 29 × 151
Abundant Even Composite

6,550,984 is even and not a perfect square. Its factorization is 2^3 × 11 × 17 × 29 × 151 and its 64 divisors sum to 14,774,400.

Prime Factor Structure

Factorization String 2^3 × 11 × 17 × 29 × 151
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 14,774,400
Proper Divisor Sum 8,223,416
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6550981 ← → #6551011

Radix Representation

Decimal 6550984
Binary 11000111111010111001000 (23 bits)
Octal 0o30772710
Hexadecimal 0x63F5C8

Divisor Catalog (60 of 64)

1 2 4 8 11 17 22 29 34 44 58 68 88 116 136 151 187 232 302 319 374 493 604 638 748 986 1,208 1,276 1,496 1,661 1,972 2,552 2,567 3,322 3,944 4,379 5,134 5,423 6,644 8,758 10,268 10,846 13,288 17,516 20,536 21,692 28,237 35,032 43,384 48,169 56,474 74,443 96,338 112,948 148,886 192,676 225,896 297,772 385,352 595,544

Collatz Trajectory (147 steps to reach 1)

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

6,550,984 3,275,492 1,637,746 818,873 2,456,620 1,228,310 614,155 1,842,466 921,233 2,763,700 1,381,850 690,925 2,072,776 1,036,388 518,194 259,097 777,292 388,646 194,323 582,970 291,485 874,456 437,228 218,614 109,307 327,922 163,961 491,884 245,942 122,971 368,914 184,457 553,372 276,686 138,343 415,030 207,515 622,546 311,273 933,820 466,910 233,455 700,366 350,183 1,050,550 525,275 1,575,826 787,913 2,363,740 1,181,870 590,935 1,772,806 886,403 2,659,210 1,329,605 3,988,816 1,994,408 997,204 498,602 249,301

More profiles

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