λ
Harmonic Matrix

4,014,649

101 × 39749
Deficient Odd Composite

4,014,649 has digital root 1. The neighboring primes are 4014623 and 4014653; its proper-divisor sum differs from the starting integer by -3,974,798.

Prime Factor Structure

Factorization String 101 × 39749
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,054,500
Proper Divisor Sum 39,851
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4014623 ← → #4014653

Radix Representation

Decimal 4014649
Binary 1111010100001000111001 (22 bits)
Octal 0o17241071
Hexadecimal 0x3D4239

Divisor Catalog (4)

1 101 39,749 4,014,649

Collatz Trajectory (185 steps to reach 1)

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

4,014,649 12,043,948 6,021,974 3,010,987 9,032,962 4,516,481 13,549,444 6,774,722 3,387,361 10,162,084 5,081,042 2,540,521 7,621,564 3,810,782 1,905,391 5,716,174 2,858,087 8,574,262 4,287,131 12,861,394 6,430,697 19,292,092 9,646,046 4,823,023 14,469,070 7,234,535 21,703,606 10,851,803 32,555,410 16,277,705 48,833,116 24,416,558 12,208,279 36,624,838 18,312,419 54,937,258 27,468,629 82,405,888 41,202,944 20,601,472 10,300,736 5,150,368 2,575,184 1,287,592 643,796 321,898 160,949 482,848 241,424 120,712 60,356 30,178 15,089 45,268 22,634 11,317 33,952 16,976 8,488 4,244

More profiles

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