24,672,648

2³ × 3 × 7 × 11 × 13² × 79

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 11 × 13^2 × 79

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 84,326,400

Proper Divisor Sum 59,653,752

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #24672647 ← → #24672677

Radix Representation

Decimal	24672648
Binary	1011110000111100110001000 (25 bits)
Octal	0o136074610
Hexadecimal	0x1787988

Divisor Catalog (60 of 192)

1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 79 84 88 91 104 132 143 154 156 158 168 169 182 231 237 264 273 286 308 312 316 338 364 429 462 474 507 546 553 572 616 632 676 728 858

Collatz Trajectory (92 steps to reach 1)

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

24,672,648 12,336,324 6,168,162 3,084,081 9,252,244 4,626,122 2,313,061 6,939,184 3,469,592 1,734,796 867,398 433,699 1,301,098 650,549 1,951,648 975,824 487,912 243,956 121,978 60,989 182,968 91,484 45,742 22,871 68,614 34,307 102,922 51,461 154,384 77,192 38,596 19,298 9,649 28,948 14,474 7,237 21,712 10,856 5,428 2,714 1,357 4,072 2,036 1,018 509 1,528 764 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372

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