9,842,872

2³ × 13 × 31 × 43 × 71

9,842,872 has the prime decomposition 2^3 × 13 × 31 × 43 × 71. Its 5 distinct prime factors produce 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 13 × 31 × 43 × 71

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 21,288,960

Proper Divisor Sum 11,446,088

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #9842869 ← → #9842879

Radix Representation

Decimal	9842872
Binary	100101100011000010111000 (24 bits)
Octal	0o45430270
Hexadecimal	0x9630B8

Divisor Catalog (60 of 64)

1 2 4 8 13 26 31 43 52 62 71 86 104 124 142 172 248 284 344 403 559 568 806 923 1,118 1,333 1,612 1,846 2,201 2,236 2,666 3,053 3,224 3,692 4,402 4,472 5,332 6,106 7,384 8,804 10,664 12,212 17,329 17,608 24,424 28,613 34,658 39,689 57,226 69,316 79,378 94,643 114,452 138,632 158,756 189,286 228,904 317,512 378,572 757,144

Collatz Trajectory (163 steps to reach 1)

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

9,842,872 4,921,436 2,460,718 1,230,359 3,691,078 1,845,539 5,536,618 2,768,309 8,304,928 4,152,464 2,076,232 1,038,116 519,058 259,529 778,588 389,294 194,647 583,942 291,971 875,914 437,957 1,313,872 656,936 328,468 164,234 82,117 246,352 123,176 61,588 30,794 15,397 46,192 23,096 11,548 5,774 2,887 8,662 4,331 12,994 6,497 19,492 9,746 4,873 14,620 7,310 3,655 10,966 5,483 16,450 8,225 24,676 12,338 6,169 18,508 9,254 4,627 13,882 6,941 20,824 10,412

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