λ
Prime Ledger

9,129,556

22 × 79 × 167 × 173
Deficient Even Composite

9,129,556 has the prime decomposition 2^2 × 79 × 167 × 173. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 79 × 167 × 173
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,369,920
Proper Divisor Sum 7,240,364
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9129553 ← → #9129563

Radix Representation

Decimal 9129556
Binary 100010110100111001010100 (24 bits)
Octal 0o42647124
Hexadecimal 0x8B4E54

Divisor Catalog (24)

1 2 4 79 158 167 173 316 334 346 668 692 13,193 13,667 26,386 27,334 28,891 52,772 54,668 57,782 115,564 2,282,389 4,564,778 9,129,556

Collatz Trajectory (132 steps to reach 1)

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

9,129,556 4,564,778 2,282,389 6,847,168 3,423,584 1,711,792 855,896 427,948 213,974 106,987 320,962 160,481 481,444 240,722 120,361 361,084 180,542 90,271 270,814 135,407 406,222 203,111 609,334 304,667 914,002 457,001 1,371,004 685,502 342,751 1,028,254 514,127 1,542,382 771,191 2,313,574 1,156,787 3,470,362 1,735,181 5,205,544 2,602,772 1,301,386 650,693 1,952,080 976,040 488,020 244,010 122,005 366,016 183,008 91,504 45,752 22,876 11,438 5,719 17,158 8,579 25,738 12,869 38,608 19,304 9,652

More profiles

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