λ
Harmonic Matrix

7,210,004

22 × 67 × 26903
Deficient Even Composite

7,210,004 has digital root 5. The neighboring primes are 7210001 and 7210031; its proper-divisor sum differs from the starting integer by -1,613,704.

Prime Factor Structure

Factorization String 2^2 × 67 × 26903
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,806,304
Proper Divisor Sum 5,596,300
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #7210001 ← → #7210031

Radix Representation

Decimal 7210004
Binary 11011100000010000010100 (23 bits)
Octal 0o33402024
Hexadecimal 0x6E0414

Divisor Catalog (12)

1 2 4 67 134 268 26,903 53,806 107,612 1,802,501 3,605,002 7,210,004

Collatz Trajectory (116 steps to reach 1)

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

7,210,004 3,605,002 1,802,501 5,407,504 2,703,752 1,351,876 675,938 337,969 1,013,908 506,954 253,477 760,432 380,216 190,108 95,054 47,527 142,582 71,291 213,874 106,937 320,812 160,406 80,203 240,610 120,305 360,916 180,458 90,229 270,688 135,344 67,672 33,836 16,918 8,459 25,378 12,689 38,068 19,034 9,517 28,552 14,276 7,138 3,569 10,708 5,354 2,677 8,032 4,016 2,008 1,004 502 251 754 377 1,132 566 283 850 425 1,276

More profiles

← Previous Integer #7,210,003 Browse Full Index Next Integer #7,210,005 →