7,741,214

2 × 13² × 37 × 619

For 7,741,214, the 24 positive divisors have a total of 12,934,440. Removing 7,741,214 leaves 5,193,226, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 13^2 × 37 × 619

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,934,440

Proper Divisor Sum 5,193,226

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #7741207 ← → #7741241

Radix Representation

Decimal	7741214
Binary	11101100001111100011110 (23 bits)
Octal	0o35417436
Hexadecimal	0x761F1E

Divisor Catalog (24)

1 2 13 26 37 74 169 338 481 619 962 1,238 6,253 8,047 12,506 16,094 22,903 45,806 104,611 209,222 297,739 595,478 3,870,607 7,741,214

Collatz Trajectory (217 steps to reach 1)

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

7,741,214 3,870,607 11,611,822 5,805,911 17,417,734 8,708,867 26,126,602 13,063,301 39,189,904 19,594,952 9,797,476 4,898,738 2,449,369 7,348,108 3,674,054 1,837,027 5,511,082 2,755,541 8,266,624 4,133,312 2,066,656 1,033,328 516,664 258,332 129,166 64,583 193,750 96,875 290,626 145,313 435,940 217,970 108,985 326,956 163,478 81,739 245,218 122,609 367,828 183,914 91,957 275,872 137,936 68,968 34,484 17,242 8,621 25,864 12,932 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188

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