7,206,567

3 × 19 × 23² × 239

7,206,567 factors as 3 × 19 × 23^2 × 239. Its 24 positive divisors give a proper-divisor sum of 3,411,033, so this integer is deficient. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 3 × 19 × 23^2 × 239

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,617,600

Proper Divisor Sum 3,411,033

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7206547 ← → #7206581

Radix Representation

Decimal	7206567
Binary	11011011111011010100111 (23 bits)
Octal	0o33373247
Hexadecimal	0x6DF6A7

Divisor Catalog (24)

Collatz Trajectory (147 steps to reach 1)

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

7,206,567 21,619,702 10,809,851 32,429,554 16,214,777 48,644,332 24,322,166 12,161,083 36,483,250 18,241,625 54,724,876 27,362,438 13,681,219 41,043,658 20,521,829 61,565,488 30,782,744 15,391,372 7,695,686 3,847,843 11,543,530 5,771,765 17,315,296 8,657,648 4,328,824 2,164,412 1,082,206 541,103 1,623,310 811,655 2,434,966 1,217,483 3,652,450 1,826,225 5,478,676 2,739,338 1,369,669 4,109,008 2,054,504 1,027,252 513,626 256,813 770,440 385,220 192,610 96,305 288,916 144,458 72,229 216,688 108,344 54,172 27,086 13,543 40,630 20,315 60,946 30,473 91,420 45,710

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