2,437,008

2⁴ × 3 × 7 × 7253

2,437,008 has the prime decomposition 2^4 × 3 × 7 × 7253. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 7253

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 7,195,968

Proper Divisor Sum 4,758,960

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2437007 ← → #2437009

Radix Representation

Decimal	2437008
Binary	1001010010111110010000 (22 bits)
Octal	0o11227620
Hexadecimal	0x252F90

Divisor Catalog (40)

1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 7,253 14,506 21,759 29,012 43,518 50,771 58,024 87,036 101,542 116,048 152,313 174,072 203,084 304,626 348,144 406,168 609,252 812,336 1,218,504 2,437,008

Collatz Trajectory (112 steps to reach 1)

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

2,437,008 1,218,504 609,252 304,626 152,313 456,940 228,470 114,235 342,706 171,353 514,060 257,030 128,515 385,546 192,773 578,320 289,160 144,580 72,290 36,145 108,436 54,218 27,109 81,328 40,664 20,332 10,166 5,083 15,250 7,625 22,876 11,438 5,719 17,158 8,579 25,738 12,869 38,608 19,304 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582

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