7,962,015

3 × 5 × 79 × 6719

7,962,015 factors as 3 × 5 × 79 × 6719. Its 16 positive divisors give a proper-divisor sum of 4,940,385, so this integer is deficient. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 3 × 5 × 79 × 6719

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,902,400

Proper Divisor Sum 4,940,385

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7962013 ← → #7962041

Radix Representation

Decimal	7962015
Binary	11110010111110110011111 (23 bits)
Octal	0o36276637
Hexadecimal	0x797D9F

Divisor Catalog (16)

1 3 5 15 79 237 395 1,185 6,719 20,157 33,595 100,785 530,801 1,592,403 2,654,005 7,962,015

Collatz Trajectory (217 steps to reach 1)

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

7,962,015 23,886,046 11,943,023 35,829,070 17,914,535 53,743,606 26,871,803 80,615,410 40,307,705 120,923,116 60,461,558 30,230,779 90,692,338 45,346,169 136,038,508 68,019,254 34,009,627 102,028,882 51,014,441 153,043,324 76,521,662 38,260,831 114,782,494 57,391,247 172,173,742 86,086,871 258,260,614 129,130,307 387,390,922 193,695,461 581,086,384 290,543,192 145,271,596 72,635,798 36,317,899 108,953,698 54,476,849 163,430,548 81,715,274 40,857,637 122,572,912 61,286,456 30,643,228 15,321,614 7,660,807 22,982,422 11,491,211 34,473,634 17,236,817 51,710,452 25,855,226 12,927,613 38,782,840 19,391,420 9,695,710 4,847,855 14,543,566 7,271,783 21,815,350 10,907,675

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