9,746,960

2⁴ × 5 × 73 × 1669

9,746,960 has the prime decomposition 2^4 × 5 × 73 × 1669. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 73 × 1669

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 22,985,880

Proper Divisor Sum 13,238,920

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #9746909 ← → #9746983

Radix Representation

Decimal	9746960
Binary	100101001011101000010000 (24 bits)
Octal	0o45135020
Hexadecimal	0x94BA10

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1,168 1,460 1,669 2,920 3,338 5,840 6,676 8,345 13,352 16,690 26,704 33,380 66,760 121,837 133,520 243,674 487,348 609,185 974,696 1,218,370 1,949,392 2,436,740 4,873,480 9,746,960

Collatz Trajectory (101 steps to reach 1)

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

9,746,960 4,873,480 2,436,740 1,218,370 609,185 1,827,556 913,778 456,889 1,370,668 685,334 342,667 1,028,002 514,001 1,542,004 771,002 385,501 1,156,504 578,252 289,126 144,563 433,690 216,845 650,536 325,268 162,634 81,317 243,952 121,976 60,988 30,494 15,247 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

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