9,462,076

2² × 13 × 19 × 61 × 157

9,462,076 has digital root 7. The neighboring primes are 9462073 and 9462077; its proper-divisor sum differs from the starting integer by 276,008.

Prime Factor Structure

Factorization String 2^2 × 13 × 19 × 61 × 157

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 19,200,160

Proper Divisor Sum 9,738,084

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #9462073 ← → #9462077

Radix Representation

Decimal	9462076
Binary	100100000110000100111100 (24 bits)
Octal	0o44060474
Hexadecimal	0x90613C

Divisor Catalog (48)

1 2 4 13 19 26 38 52 61 76 122 157 244 247 314 494 628 793 988 1,159 1,586 2,041 2,318 2,983 3,172 4,082 4,636 5,966 8,164 9,577 11,932 15,067 19,154 30,134 38,308 38,779 60,268 77,558 124,501 155,116 181,963 249,002 363,926 498,004 727,852 2,365,519 4,731,038 9,462,076

Collatz Trajectory (101 steps to reach 1)

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

9,462,076 4,731,038 2,365,519 7,096,558 3,548,279 10,644,838 5,322,419 15,967,258 7,983,629 23,950,888 11,975,444 5,987,722 2,993,861 8,981,584 4,490,792 2,245,396 1,122,698 561,349 1,684,048 842,024 421,012 210,506 105,253 315,760 157,880 78,940 39,470 19,735 59,206 29,603 88,810 44,405 133,216 66,608 33,304 16,652 8,326 4,163 12,490 6,245 18,736 9,368 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672

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