9,427,131

3³ × 7 × 31 × 1609

9,427,131 has the prime decomposition 3^3 × 7 × 31 × 1609. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 7 × 31 × 1609

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 16,486,400

Proper Divisor Sum 7,059,269

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9427127 ← → #9427133

Radix Representation

Decimal	9427131
Binary	100011111101100010111011 (24 bits)
Octal	0o43754273
Hexadecimal	0x8FD8BB

Divisor Catalog (32)

1 3 7 9 21 27 31 63 93 189 217 279 651 837 1,609 1,953 4,827 5,859 11,263 14,481 33,789 43,443 49,879 101,367 149,637 304,101 349,153 448,911 1,047,459 1,346,733 3,142,377 9,427,131

Collatz Trajectory (132 steps to reach 1)

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

9,427,131 28,281,394 14,140,697 42,422,092 21,211,046 10,605,523 31,816,570 15,908,285 47,724,856 23,862,428 11,931,214 5,965,607 17,896,822 8,948,411 26,845,234 13,422,617 40,267,852 20,133,926 10,066,963 30,200,890 15,100,445 45,301,336 22,650,668 11,325,334 5,662,667 16,988,002 8,494,001 25,482,004 12,741,002 6,370,501 19,111,504 9,555,752 4,777,876 2,388,938 1,194,469 3,583,408 1,791,704 895,852 447,926 223,963 671,890 335,945 1,007,836 503,918 251,959 755,878 377,939 1,133,818 566,909 1,700,728 850,364 425,182 212,591 637,774 318,887 956,662 478,331 1,434,994 717,497 2,152,492

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