λ
Harmonic Matrix

6,980,397

3 × 2326799
Deficient Odd Composite

6,980,397 has digital root 6. The neighboring primes are 6980371 and 6980399; its proper-divisor sum differs from the starting integer by -4,653,594.

Prime Factor Structure

Factorization String 3 × 2326799
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,307,200
Proper Divisor Sum 2,326,803
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6980371 ← → #6980399

Radix Representation

Decimal 6980397
Binary 11010101000001100101101 (23 bits)
Octal 0o32501455
Hexadecimal 0x6A832D

Divisor Catalog (4)

1 3 2,326,799 6,980,397

Collatz Trajectory (204 steps to reach 1)

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

6,980,397 20,941,192 10,470,596 5,235,298 2,617,649 7,852,948 3,926,474 1,963,237 5,889,712 2,944,856 1,472,428 736,214 368,107 1,104,322 552,161 1,656,484 828,242 414,121 1,242,364 621,182 310,591 931,774 465,887 1,397,662 698,831 2,096,494 1,048,247 3,144,742 1,572,371 4,717,114 2,358,557 7,075,672 3,537,836 1,768,918 884,459 2,653,378 1,326,689 3,980,068 1,990,034 995,017 2,985,052 1,492,526 746,263 2,238,790 1,119,395 3,358,186 1,679,093 5,037,280 2,518,640 1,259,320 629,660 314,830 157,415 472,246 236,123 708,370 354,185 1,062,556 531,278 265,639

More profiles

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