λ
Harmonic Matrix

7,129,978

2 × 19 × 187631
Deficient Even Composite

7,129,978 has digital root 7. The neighboring primes are 7129877 and 7130003; its proper-divisor sum differs from the starting integer by -3,002,036.

Prime Factor Structure

Factorization String 2 × 19 × 187631
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,257,920
Proper Divisor Sum 4,127,942
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #7129877 ← → #7130003

Radix Representation

Decimal 7129978
Binary 11011001100101101111010 (23 bits)
Octal 0o33145572
Hexadecimal 0x6CCB7A

Divisor Catalog (8)

1 2 19 38 187,631 375,262 3,564,989 7,129,978

Collatz Trajectory (191 steps to reach 1)

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

7,129,978 3,564,989 10,694,968 5,347,484 2,673,742 1,336,871 4,010,614 2,005,307 6,015,922 3,007,961 9,023,884 4,511,942 2,255,971 6,767,914 3,383,957 10,151,872 5,075,936 2,537,968 1,268,984 634,492 317,246 158,623 475,870 237,935 713,806 356,903 1,070,710 535,355 1,606,066 803,033 2,409,100 1,204,550 602,275 1,806,826 903,413 2,710,240 1,355,120 677,560 338,780 169,390 84,695 254,086 127,043 381,130 190,565 571,696 285,848 142,924 71,462 35,731 107,194 53,597 160,792 80,396 40,198 20,099 60,298 30,149 90,448 45,224

More profiles

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