λ
Prime Ledger

9,572,148

22 × 33 × 263 × 337
Abundant Even Composite

9,572,148 has the prime decomposition 2^2 × 3^3 × 263 × 337. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 263 × 337
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 24,984,960
Proper Divisor Sum 15,412,812
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9572137 ← → #9572153

Radix Representation

Decimal 9572148
Binary 100100100000111100110100 (24 bits)
Octal 0o44407464
Hexadecimal 0x920F34

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 54 108 263 337 526 674 789 1,011 1,052 1,348 1,578 2,022 2,367 3,033 3,156 4,044 4,734 6,066 7,101 9,099 9,468 12,132 14,202 18,198 28,404 36,396 88,631 177,262 265,893 354,524 531,786 797,679 1,063,572 1,595,358 2,393,037 3,190,716 4,786,074 9,572,148

Collatz Trajectory (132 steps to reach 1)

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

9,572,148 4,786,074 2,393,037 7,179,112 3,589,556 1,794,778 897,389 2,692,168 1,346,084 673,042 336,521 1,009,564 504,782 252,391 757,174 378,587 1,135,762 567,881 1,703,644 851,822 425,911 1,277,734 638,867 1,916,602 958,301 2,874,904 1,437,452 718,726 359,363 1,078,090 539,045 1,617,136 808,568 404,284 202,142 101,071 303,214 151,607 454,822 227,411 682,234 341,117 1,023,352 511,676 255,838 127,919 383,758 191,879 575,638 287,819 863,458 431,729 1,295,188 647,594 323,797 971,392 485,696 242,848 121,424 60,712

More profiles

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