2,013,136

2⁴ × 125821

2,013,136 factors as 2^4 × 125821. Its 10 positive divisors give a proper-divisor sum of 1,887,346, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^4 × 125821

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 3,900,482

Proper Divisor Sum 1,887,346

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #2013127 ← → #2013163

Radix Representation

Decimal	2013136
Binary	111101011011111010000 (21 bits)
Octal	0o7533720
Hexadecimal	0x1EB7D0

Divisor Catalog (10)

1 2 4 8 16 125,821 251,642 503,284 1,006,568 2,013,136

Collatz Trajectory (91 steps to reach 1)

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

2,013,136 1,006,568 503,284 251,642 125,821 377,464 188,732 94,366 47,183 141,550 70,775 212,326 106,163 318,490 159,245 477,736 238,868 119,434 59,717 179,152 89,576 44,788 22,394 11,197 33,592 16,796 8,398 4,199 12,598 6,299 18,898 9,449 28,348 14,174 7,087 21,262 10,631 31,894 15,947 47,842 23,921 71,764 35,882 17,941 53,824 26,912 13,456 6,728 3,364 1,682 841 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132

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