7,205,271

3 × 1489 × 1613

7,205,271 factors as 3 × 1489 × 1613. Its 8 positive divisors give a proper-divisor sum of 2,414,169, so this integer is deficient. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 3 × 1489 × 1613

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,619,440

Proper Divisor Sum 2,414,169

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #7205249 ← → #7205309

Radix Representation

Decimal	7205271
Binary	11011011111000110010111 (23 bits)
Octal	0o33370627
Hexadecimal	0x6DF197

Divisor Catalog (8)

1 3 1,489 1,613 4,467 4,839 2,401,757 7,205,271

Collatz Trajectory (235 steps to reach 1)

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

7,205,271 21,615,814 10,807,907 32,423,722 16,211,861 48,635,584 24,317,792 12,158,896 6,079,448 3,039,724 1,519,862 759,931 2,279,794 1,139,897 3,419,692 1,709,846 854,923 2,564,770 1,282,385 3,847,156 1,923,578 961,789 2,885,368 1,442,684 721,342 360,671 1,082,014 541,007 1,623,022 811,511 2,434,534 1,217,267 3,651,802 1,825,901 5,477,704 2,738,852 1,369,426 684,713 2,054,140 1,027,070 513,535 1,540,606 770,303 2,310,910 1,155,455 3,466,366 1,733,183 5,199,550 2,599,775 7,799,326 3,899,663 11,698,990 5,849,495 17,548,486 8,774,243 26,322,730 13,161,365 39,484,096 19,742,048 9,871,024

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