λ
Harmonic Matrix

2,578,007

79 × 32633
Deficient Odd Composite

2,578,007 has digital root 2. The neighboring primes are 2578003 and 2578019; its proper-divisor sum differs from the starting integer by -2,545,294.

Prime Factor Structure

Factorization String 79 × 32633
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,610,720
Proper Divisor Sum 32,713
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2578003 ← → #2578019

Radix Representation

Decimal 2578007
Binary 1001110101011001010111 (22 bits)
Octal 0o11653127
Hexadecimal 0x275657

Divisor Catalog (4)

1 79 32,633 2,578,007

Collatz Trajectory (205 steps to reach 1)

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

2,578,007 7,734,022 3,867,011 11,601,034 5,800,517 17,401,552 8,700,776 4,350,388 2,175,194 1,087,597 3,262,792 1,631,396 815,698 407,849 1,223,548 611,774 305,887 917,662 458,831 1,376,494 688,247 2,064,742 1,032,371 3,097,114 1,548,557 4,645,672 2,322,836 1,161,418 580,709 1,742,128 871,064 435,532 217,766 108,883 326,650 163,325 489,976 244,988 122,494 61,247 183,742 91,871 275,614 137,807 413,422 206,711 620,134 310,067 930,202 465,101 1,395,304 697,652 348,826 174,413 523,240 261,620 130,810 65,405 196,216 98,108

More profiles

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