9,512,288

2⁵ × 31 × 43 × 223

9,512,288 has the prime decomposition 2^5 × 31 × 43 × 223. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 31 × 43 × 223

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 19,869,696

Proper Divisor Sum 10,357,408

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #9512267 ← → #9512329

Radix Representation

Decimal	9512288
Binary	100100010010010101100000 (24 bits)
Octal	0o44222540
Hexadecimal	0x912560

Divisor Catalog (48)

1 2 4 8 16 31 32 43 62 86 124 172 223 248 344 446 496 688 892 992 1,333 1,376 1,784 2,666 3,568 5,332 6,913 7,136 9,589 10,664 13,826 19,178 21,328 27,652 38,356 42,656 55,304 76,712 110,608 153,424 221,216 297,259 306,848 594,518 1,189,036 2,378,072 4,756,144 9,512,288

Collatz Trajectory (163 steps to reach 1)

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

9,512,288 4,756,144 2,378,072 1,189,036 594,518 297,259 891,778 445,889 1,337,668 668,834 334,417 1,003,252 501,626 250,813 752,440 376,220 188,110 94,055 282,166 141,083 423,250 211,625 634,876 317,438 158,719 476,158 238,079 714,238 357,119 1,071,358 535,679 1,607,038 803,519 2,410,558 1,205,279 3,615,838 1,807,919 5,423,758 2,711,879 8,135,638 4,067,819 12,203,458 6,101,729 18,305,188 9,152,594 4,576,297 13,728,892 6,864,446 3,432,223 10,296,670 5,148,335 15,445,006 7,722,503 23,167,510 11,583,755 34,751,266 17,375,633 52,126,900 26,063,450 13,031,725

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