84,249,596

2² × 1237 × 17027

84,249,596 factors as 2^2 × 1237 × 17027. Its 12 positive divisors give a proper-divisor sum of 63,315,052, so this integer is deficient. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 2^2 × 1237 × 17027

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 147,564,648

Proper Divisor Sum 63,315,052

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #84249593 ← → #84249617

Radix Representation

Decimal	84249596
Binary	101000001011000101111111100 (27 bits)
Octal	0o501305774
Hexadecimal	0x5058BFC

Divisor Catalog (12)

1 2 4 1,237 2,474 4,948 17,027 34,054 68,108 21,062,399 42,124,798 84,249,596

Collatz Trajectory (179 steps to reach 1)

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

84,249,596 42,124,798 21,062,399 63,187,198 31,593,599 94,780,798 47,390,399 142,171,198 71,085,599 213,256,798 106,628,399 319,885,198 159,942,599 479,827,798 239,913,899 719,741,698 359,870,849 1,079,612,548 539,806,274 269,903,137 809,709,412 404,854,706 202,427,353 607,282,060 303,641,030 151,820,515 455,461,546 227,730,773 683,192,320 341,596,160 170,798,080 85,399,040 42,699,520 21,349,760 10,674,880 5,337,440 2,668,720 1,334,360 667,180 333,590 166,795 500,386 250,193 750,580 375,290 187,645 562,936 281,468 140,734 70,367 211,102 105,551 316,654 158,327 474,982 237,491 712,474 356,237 1,068,712 534,356

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