5,333,797

7² × 199 × 547

5,333,797 factors as 7^2 × 199 × 547. Its 12 positive divisors give a proper-divisor sum of 913,403, so this integer is deficient. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 7^2 × 199 × 547

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,247,200

Proper Divisor Sum 913,403

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #5333791 ← → #5333827

Radix Representation

Decimal	5333797
Binary	10100010110001100100101 (23 bits)
Octal	0o24261445
Hexadecimal	0x516325

Divisor Catalog (12)

1 7 49 199 547 1,393 3,829 9,751 26,803 108,853 761,971 5,333,797

Collatz Trajectory (157 steps to reach 1)

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

5,333,797 16,001,392 8,000,696 4,000,348 2,000,174 1,000,087 3,000,262 1,500,131 4,500,394 2,250,197 6,750,592 3,375,296 1,687,648 843,824 421,912 210,956 105,478 52,739 158,218 79,109 237,328 118,664 59,332 29,666 14,833 44,500 22,250 11,125 33,376 16,688 8,344 4,172 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161

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