λ
Harmonic Matrix

2,616,407

2616407
Deficient Odd Prime

2,616,407 has digital root 8. The neighboring primes are 2616379 and 2616437; its proper-divisor sum differs from the starting integer by -2,616,406.

Prime Factor Structure

Factorization String 2616407
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,616,408
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2616379 ← → #2616437

Radix Representation

Decimal 2616407
Binary 1001111110110001010111 (22 bits)
Octal 0o11766127
Hexadecimal 0x27EC57

Divisor Catalog (2)

1 2,616,407

Collatz Trajectory (156 steps to reach 1)

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

2,616,407 7,849,222 3,924,611 11,773,834 5,886,917 17,660,752 8,830,376 4,415,188 2,207,594 1,103,797 3,311,392 1,655,696 827,848 413,924 206,962 103,481 310,444 155,222 77,611 232,834 116,417 349,252 174,626 87,313 261,940 130,970 65,485 196,456 98,228 49,114 24,557 73,672 36,836 18,418 9,209 27,628 13,814 6,907 20,722 10,361 31,084 15,542 7,771 23,314 11,657 34,972 17,486 8,743 26,230 13,115 39,346 19,673 59,020 29,510 14,755 44,266 22,133 66,400 33,200 16,600

More profiles

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