2,015,032

2³ × 251879

2,015,032 factors as 2^3 × 251879. Its 8 positive divisors give a proper-divisor sum of 1,763,168, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^3 × 251879

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,778,200

Proper Divisor Sum 1,763,168

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #2015021 ← → #2015033

Radix Representation

Decimal	2015032
Binary	111101011111100111000 (21 bits)
Octal	0o7537470
Hexadecimal	0x1EBF38

Divisor Catalog (8)

1 2 4 8 251,879 503,758 1,007,516 2,015,032

Collatz Trajectory (91 steps to reach 1)

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

2,015,032 1,007,516 503,758 251,879 755,638 377,819 1,133,458 566,729 1,700,188 850,094 425,047 1,275,142 637,571 1,912,714 956,357 2,869,072 1,434,536 717,268 358,634 179,317 537,952 268,976 134,488 67,244 33,622 16,811 50,434 25,217 75,652 37,826 18,913 56,740 28,370 14,185 42,556 21,278 10,639 31,918 15,959 47,878 23,939 71,818 35,909 107,728 53,864 26,932 13,466 6,733 20,200 10,100 5,050 2,525 7,576 3,788 1,894 947 2,842 1,421 4,264 2,132

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