7,437,806

2 × 17 × 283 × 773

7,437,806 factors as 2 × 17 × 283 × 773. Its 16 positive divisors give a proper-divisor sum of 4,432,258, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2 × 17 × 283 × 773

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,870,064

Proper Divisor Sum 4,432,258

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7437803 ← → #7437821

Radix Representation

Decimal	7437806
Binary	11100010111110111101110 (23 bits)
Octal	0o34276756
Hexadecimal	0x717DEE

Divisor Catalog (16)

1 2 17 34 283 566 773 1,546 4,811 9,622 13,141 26,282 218,759 437,518 3,718,903 7,437,806

Collatz Trajectory (173 steps to reach 1)

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

7,437,806 3,718,903 11,156,710 5,578,355 16,735,066 8,367,533 25,102,600 12,551,300 6,275,650 3,137,825 9,413,476 4,706,738 2,353,369 7,060,108 3,530,054 1,765,027 5,295,082 2,647,541 7,942,624 3,971,312 1,985,656 992,828 496,414 248,207 744,622 372,311 1,116,934 558,467 1,675,402 837,701 2,513,104 1,256,552 628,276 314,138 157,069 471,208 235,604 117,802 58,901 176,704 88,352 44,176 22,088 11,044 5,522 2,761 8,284 4,142 2,071 6,214 3,107 9,322 4,661 13,984 6,992 3,496 1,748 874 437 1,312

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