9,137,440

2⁵ × 5 × 13 × 23 × 191

9,137,440 is even and not a perfect square. Its factorization is 2^5 × 5 × 13 × 23 × 191 and its 96 divisors sum to 24,385,536.

Prime Factor Structure

Factorization String 2^5 × 5 × 13 × 23 × 191

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 24,385,536

Proper Divisor Sum 15,248,096

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #9137437 ← → #9137441

Radix Representation

Decimal	9137440
Binary	100010110110110100100000 (24 bits)
Octal	0o42666440
Hexadecimal	0x8B6D20

Divisor Catalog (60 of 96)

1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 65 80 92 104 115 130 160 184 191 208 230 260 299 368 382 416 460 520 598 736 764 920 955 1,040 1,196 1,495 1,528 1,840 1,910 2,080 2,392 2,483 2,990 3,056 3,680 3,820 4,393 4,784 4,966 5,980 6,112 7,640 8,786 9,568 9,932

Collatz Trajectory (132 steps to reach 1)

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

9,137,440 4,568,720 2,284,360 1,142,180 571,090 285,545 856,636 428,318 214,159 642,478 321,239 963,718 481,859 1,445,578 722,789 2,168,368 1,084,184 542,092 271,046 135,523 406,570 203,285 609,856 304,928 152,464 76,232 38,116 19,058 9,529 28,588 14,294 7,147 21,442 10,721 32,164 16,082 8,041 24,124 12,062 6,031 18,094 9,047 27,142 13,571 40,714 20,357 61,072 30,536 15,268 7,634 3,817 11,452 5,726 2,863 8,590 4,295 12,886 6,443 19,330 9,665

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