9,136,071

3⁵ × 7 × 41 × 131

9,136,071 has digital root 9. The neighboring primes are 9136063 and 9136079; its proper-divisor sum differs from the starting integer by -2,128,014.

Prime Factor Structure

Factorization String 3^5 × 7 × 41 × 131

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 16,144,128

Proper Divisor Sum 7,008,057

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9136063 ← → #9136079

Radix Representation

Decimal	9136071
Binary	100010110110011111000111 (24 bits)
Octal	0o42663707
Hexadecimal	0x8B67C7

Divisor Catalog (48)

1 3 7 9 21 27 41 63 81 123 131 189 243 287 369 393 567 861 917 1,107 1,179 1,701 2,583 2,751 3,321 3,537 5,371 7,749 8,253 9,963 10,611 16,113 23,247 24,759 31,833 37,597 48,339 69,741 74,277 112,791 145,017 222,831 338,373 435,051 1,015,119 1,305,153 3,045,357 9,136,071

Collatz Trajectory (287 steps to reach 1)

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

9,136,071 27,408,214 13,704,107 41,112,322 20,556,161 61,668,484 30,834,242 15,417,121 46,251,364 23,125,682 11,562,841 34,688,524 17,344,262 8,672,131 26,016,394 13,008,197 39,024,592 19,512,296 9,756,148 4,878,074 2,439,037 7,317,112 3,658,556 1,829,278 914,639 2,743,918 1,371,959 4,115,878 2,057,939 6,173,818 3,086,909 9,260,728 4,630,364 2,315,182 1,157,591 3,472,774 1,736,387 5,209,162 2,604,581 7,813,744 3,906,872 1,953,436 976,718 488,359 1,465,078 732,539 2,197,618 1,098,809 3,296,428 1,648,214 824,107 2,472,322 1,236,161 3,708,484 1,854,242 927,121 2,781,364 1,390,682 695,341 2,086,024

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