λ
Harmonic Matrix

2,497,879

2497879
Deficient Odd Prime

2,497,879 has digital root 1. The neighboring primes are 2497877 and 2497897; its proper-divisor sum differs from the starting integer by -2,497,878.

Prime Factor Structure

Factorization String 2497879
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,497,880
Proper Divisor Sum 1
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #2497877 ← → #2497897

Radix Representation

Decimal 2497879
Binary 1001100001110101010111 (22 bits)
Octal 0o11416527
Hexadecimal 0x261D57

Divisor Catalog (2)

Collatz Trajectory (143 steps to reach 1)

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

2,497,879 7,493,638 3,746,819 11,240,458 5,620,229 16,860,688 8,430,344 4,215,172 2,107,586 1,053,793 3,161,380 1,580,690 790,345 2,371,036 1,185,518 592,759 1,778,278 889,139 2,667,418 1,333,709 4,001,128 2,000,564 1,000,282 500,141 1,500,424 750,212 375,106 187,553 562,660 281,330 140,665 421,996 210,998 105,499 316,498 158,249 474,748 237,374 118,687 356,062 178,031 534,094 267,047 801,142 400,571 1,201,714 600,857 1,802,572 901,286 450,643 1,351,930 675,965 2,027,896 1,013,948 506,974 253,487 760,462 380,231 1,140,694 570,347

More profiles

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