7,206,964

2² × 29 × 62129

7,206,964 factors as 2^2 × 29 × 62129. Its 12 positive divisors give a proper-divisor sum of 5,840,336, so this integer is deficient. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^2 × 29 × 62129

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,047,300

Proper Divisor Sum 5,840,336

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7206961 ← → #7206977

Radix Representation

Decimal	7206964
Binary	11011011111100000110100 (23 bits)
Octal	0o33374064
Hexadecimal	0x6DF834

Divisor Catalog (12)

1 2 4 29 58 116 62,129 124,258 248,516 1,801,741 3,603,482 7,206,964

Collatz Trajectory (116 steps to reach 1)

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

7,206,964 3,603,482 1,801,741 5,405,224 2,702,612 1,351,306 675,653 2,026,960 1,013,480 506,740 253,370 126,685 380,056 190,028 95,014 47,507 142,522 71,261 213,784 106,892 53,446 26,723 80,170 40,085 120,256 60,128 30,064 15,032 7,516 3,758 1,879 5,638 2,819 8,458 4,229 12,688 6,344 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276

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