λ
Harmonic Matrix

2,438,761

13 × 187597
Deficient Odd Composite

2,438,761 has digital root 4. The neighboring primes are 2438717 and 2438767; its proper-divisor sum differs from the starting integer by -2,251,150.

Prime Factor Structure

Factorization String 13 × 187597
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,626,372
Proper Divisor Sum 187,611
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2438717 ← → #2438767

Radix Representation

Decimal 2438761
Binary 1001010011011001101001 (22 bits)
Octal 0o11233151
Hexadecimal 0x253669

Divisor Catalog (4)

1 13 187,597 2,438,761

Collatz Trajectory (205 steps to reach 1)

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

2,438,761 7,316,284 3,658,142 1,829,071 5,487,214 2,743,607 8,230,822 4,115,411 12,346,234 6,173,117 18,519,352 9,259,676 4,629,838 2,314,919 6,944,758 3,472,379 10,417,138 5,208,569 15,625,708 7,812,854 3,906,427 11,719,282 5,859,641 17,578,924 8,789,462 4,394,731 13,184,194 6,592,097 19,776,292 9,888,146 4,944,073 14,832,220 7,416,110 3,708,055 11,124,166 5,562,083 16,686,250 8,343,125 25,029,376 12,514,688 6,257,344 3,128,672 1,564,336 782,168 391,084 195,542 97,771 293,314 146,657 439,972 219,986 109,993 329,980 164,990 82,495 247,486 123,743 371,230 185,615 556,846

More profiles

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