λ
Harmonic Matrix

2,478,049

7 × 354007
Deficient Odd Composite

2,478,049 has digital root 7. The neighboring primes are 2478041 and 2478067; its proper-divisor sum differs from the starting integer by -2,124,034.

Prime Factor Structure

Factorization String 7 × 354007
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,832,064
Proper Divisor Sum 354,015
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2478041 ← → #2478067

Radix Representation

Decimal 2478049
Binary 1001011100111111100001 (22 bits)
Octal 0o11347741
Hexadecimal 0x25CFE1

Divisor Catalog (4)

1 7 354,007 2,478,049

Collatz Trajectory (143 steps to reach 1)

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

2,478,049 7,434,148 3,717,074 1,858,537 5,575,612 2,787,806 1,393,903 4,181,710 2,090,855 6,272,566 3,136,283 9,408,850 4,704,425 14,113,276 7,056,638 3,528,319 10,584,958 5,292,479 15,877,438 7,938,719 23,816,158 11,908,079 35,724,238 17,862,119 53,586,358 26,793,179 80,379,538 40,189,769 120,569,308 60,284,654 30,142,327 90,426,982 45,213,491 135,640,474 67,820,237 203,460,712 101,730,356 50,865,178 25,432,589 76,297,768 38,148,884 19,074,442 9,537,221 28,611,664 14,305,832 7,152,916 3,576,458 1,788,229 5,364,688 2,682,344 1,341,172 670,586 335,293 1,005,880 502,940 251,470 125,735 377,206 188,603 565,810

More profiles

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