84,201,748

2² × 17 × 659 × 1879

84,201,748 factors as 2^2 × 17 × 659 × 1879. Its 24 positive divisors give a proper-divisor sum of 72,139,052, so this integer is deficient. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 659 × 1879

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 156,340,800

Proper Divisor Sum 72,139,052

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #84201739 ← → #84201763

Radix Representation

Decimal	84201748
Binary	101000001001101000100010100 (27 bits)
Octal	0o501150424
Hexadecimal	0x504D114

Divisor Catalog (24)

Collatz Trajectory (148 steps to reach 1)

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

84,201,748 42,100,874 21,050,437 63,151,312 31,575,656 15,787,828 7,893,914 3,946,957 11,840,872 5,920,436 2,960,218 1,480,109 4,440,328 2,220,164 1,110,082 555,041 1,665,124 832,562 416,281 1,248,844 624,422 312,211 936,634 468,317 1,404,952 702,476 351,238 175,619 526,858 263,429 790,288 395,144 197,572 98,786 49,393 148,180 74,090 37,045 111,136 55,568 27,784 13,892 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413

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