9,427,704

2³ × 3 × 11 × 13 × 41 × 67

9,427,704 has the prime decomposition 2^3 × 3 × 11 × 13 × 41 × 67. Its 6 distinct prime factors produce 128 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 13 × 41 × 67

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 28,788,480

Proper Divisor Sum 19,360,776

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9427687 ← → #9427727

Radix Representation

Decimal	9427704
Binary	100011111101101011111000 (24 bits)
Octal	0o43755370
Hexadecimal	0x8FDAF8

Divisor Catalog (60 of 128)

1 2 3 4 6 8 11 12 13 22 24 26 33 39 41 44 52 66 67 78 82 88 104 123 132 134 143 156 164 201 246 264 268 286 312 328 402 429 451 492 533 536 572 737 804 858 871 902 984 1,066 1,144 1,353 1,474 1,599 1,608 1,716 1,742 1,804 2,132 2,211

Collatz Trajectory (176 steps to reach 1)

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

9,427,704 4,713,852 2,356,926 1,178,463 3,535,390 1,767,695 5,303,086 2,651,543 7,954,630 3,977,315 11,931,946 5,965,973 17,897,920 8,948,960 4,474,480 2,237,240 1,118,620 559,310 279,655 838,966 419,483 1,258,450 629,225 1,887,676 943,838 471,919 1,415,758 707,879 2,123,638 1,061,819 3,185,458 1,592,729 4,778,188 2,389,094 1,194,547 3,583,642 1,791,821 5,375,464 2,687,732 1,343,866 671,933 2,015,800 1,007,900 503,950 251,975 755,926 377,963 1,133,890 566,945 1,700,836 850,418 425,209 1,275,628 637,814 318,907 956,722 478,361 1,435,084 717,542 358,771

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