λ
Harmonic Matrix

2,917,198

2 × 1458599
Deficient Even Composite

2,917,198 has digital root 1. The neighboring primes are 2917181 and 2917199; its proper-divisor sum differs from the starting integer by -1,458,596.

Prime Factor Structure

Factorization String 2 × 1458599
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,375,800
Proper Divisor Sum 1,458,602
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2917181 ← → #2917199

Radix Representation

Decimal 2917198
Binary 1011001000001101001110 (22 bits)
Octal 0o13101516
Hexadecimal 0x2C834E

Divisor Catalog (4)

1 2 1,458,599 2,917,198

Collatz Trajectory (174 steps to reach 1)

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

2,917,198 1,458,599 4,375,798 2,187,899 6,563,698 3,281,849 9,845,548 4,922,774 2,461,387 7,384,162 3,692,081 11,076,244 5,538,122 2,769,061 8,307,184 4,153,592 2,076,796 1,038,398 519,199 1,557,598 778,799 2,336,398 1,168,199 3,504,598 1,752,299 5,256,898 2,628,449 7,885,348 3,942,674 1,971,337 5,914,012 2,957,006 1,478,503 4,435,510 2,217,755 6,653,266 3,326,633 9,979,900 4,989,950 2,494,975 7,484,926 3,742,463 11,227,390 5,613,695 16,841,086 8,420,543 25,261,630 12,630,815 37,892,446 18,946,223 56,838,670 28,419,335 85,258,006 42,629,003 127,887,010 63,943,505 191,830,516 95,915,258 47,957,629 143,872,888

More profiles

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