2,142,015

3 × 5 × 61 × 2341

2,142,015 factors as 3 × 5 × 61 × 2341. Its 16 positive divisors give a proper-divisor sum of 1,342,881, so this integer is deficient. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 3 × 5 × 61 × 2341

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,484,896

Proper Divisor Sum 1,342,881

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #2142001 ← → #2142029

Radix Representation

Decimal	2142015
Binary	1000001010111100111111 (22 bits)
Octal	0o10127477
Hexadecimal	0x20AF3F

Divisor Catalog (16)

1 3 5 15 61 183 305 915 2,341 7,023 11,705 35,115 142,801 428,403 714,005 2,142,015

Collatz Trajectory (122 steps to reach 1)

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

2,142,015 6,426,046 3,213,023 9,639,070 4,819,535 14,458,606 7,229,303 21,687,910 10,843,955 32,531,866 16,265,933 48,797,800 24,398,900 12,199,450 6,099,725 18,299,176 9,149,588 4,574,794 2,287,397 6,862,192 3,431,096 1,715,548 857,774 428,887 1,286,662 643,331 1,929,994 964,997 2,894,992 1,447,496 723,748 361,874 180,937 542,812 271,406 135,703 407,110 203,555 610,666 305,333 916,000 458,000 229,000 114,500 57,250 28,625 85,876 42,938 21,469 64,408 32,204 16,102 8,051 24,154 12,077 36,232 18,116 9,058 4,529 13,588

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