98,569,723

7² × 17 × 241 × 491

98,569,723 factors as 7^2 × 17 × 241 × 491. Its 24 positive divisors give a proper-divisor sum of 23,589,941, so this integer is deficient. The Collatz stopping time is 244 steps.

Prime Factor Structure

Factorization String 7^2 × 17 × 241 × 491

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 122,159,664

Proper Divisor Sum 23,589,941

Digit Sum / Digital Root 49 (Root: 4)

Adjacent Primes #98569711 ← → #98569729

Radix Representation

Decimal	98569723
Binary	101111000000000110111111011 (27 bits)
Octal	0o570006773
Hexadecimal	0x5E00DFB

Divisor Catalog (24)

Collatz Trajectory (244 steps to reach 1)

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

98,569,723 295,709,170 147,854,585 443,563,756 221,781,878 110,890,939 332,672,818 166,336,409 499,009,228 249,504,614 124,752,307 374,256,922 187,128,461 561,385,384 280,692,692 140,346,346 70,173,173 210,519,520 105,259,760 52,629,880 26,314,940 13,157,470 6,578,735 19,736,206 9,868,103 29,604,310 14,802,155 44,406,466 22,203,233 66,609,700 33,304,850 16,652,425 49,957,276 24,978,638 12,489,319 37,467,958 18,733,979 56,201,938 28,100,969 84,302,908 42,151,454 21,075,727 63,227,182 31,613,591 94,840,774 47,420,387 142,261,162 71,130,581 213,391,744 106,695,872 53,347,936 26,673,968 13,336,984 6,668,492 3,334,246 1,667,123 5,001,370 2,500,685 7,502,056 3,751,028

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