λ
Prime Ledger

7,131,032

23 × 891379
Deficient Even Composite

7,131,032 has the prime decomposition 2^3 × 891379. Its 2 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 891379
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,370,700
Proper Divisor Sum 6,239,668
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #7131017 ← → #7131037

Radix Representation

Decimal 7131032
Binary 11011001100111110011000 (23 bits)
Octal 0o33147630
Hexadecimal 0x6CCF98

Divisor Catalog (8)

1 2 4 8 891,379 1,782,758 3,565,516 7,131,032

Collatz Trajectory (72 steps to reach 1)

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

7,131,032 3,565,516 1,782,758 891,379 2,674,138 1,337,069 4,011,208 2,005,604 1,002,802 501,401 1,504,204 752,102 376,051 1,128,154 564,077 1,692,232 846,116 423,058 211,529 634,588 317,294 158,647 475,942 237,971 713,914 356,957 1,070,872 535,436 267,718 133,859 401,578 200,789 602,368 301,184 150,592 75,296 37,648 18,824 9,412 4,706 2,353 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70 35

More profiles

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