λ
Prime Ledger

2,402,140

22 × 5 × 13 × 9239
Abundant Even Composite

2,402,140 has the prime decomposition 2^2 × 5 × 13 × 9239. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 9239
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,433,120
Proper Divisor Sum 3,030,980
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #2402107 ← → #2402161

Radix Representation

Decimal 2402140
Binary 1001001010011101011100 (22 bits)
Octal 0o11123534
Hexadecimal 0x24A75C

Divisor Catalog (24)

1 2 4 5 10 13 20 26 52 65 130 260 9,239 18,478 36,956 46,195 92,390 120,107 184,780 240,214 480,428 600,535 1,201,070 2,402,140

Collatz Trajectory (117 steps to reach 1)

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

2,402,140 1,201,070 600,535 1,801,606 900,803 2,702,410 1,351,205 4,053,616 2,026,808 1,013,404 506,702 253,351 760,054 380,027 1,140,082 570,041 1,710,124 855,062 427,531 1,282,594 641,297 1,923,892 961,946 480,973 1,442,920 721,460 360,730 180,365 541,096 270,548 135,274 67,637 202,912 101,456 50,728 25,364 12,682 6,341 19,024 9,512 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425

More profiles

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