2,977,136

2⁴ × 186071

2,977,136 factors as 2^4 × 186071. Its 10 positive divisors give a proper-divisor sum of 2,791,096, so this integer is deficient. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2^4 × 186071

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 5,768,232

Proper Divisor Sum 2,791,096

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #2977099 ← → #2977151

Radix Representation

Decimal	2977136
Binary	1011010110110101110000 (22 bits)
Octal	0o13266560
Hexadecimal	0x2D6D70

Divisor Catalog (10)

1 2 4 8 16 186,071 372,142 744,284 1,488,568 2,977,136

Collatz Trajectory (164 steps to reach 1)

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

2,977,136 1,488,568 744,284 372,142 186,071 558,214 279,107 837,322 418,661 1,255,984 627,992 313,996 156,998 78,499 235,498 117,749 353,248 176,624 88,312 44,156 22,078 11,039 33,118 16,559 49,678 24,839 74,518 37,259 111,778 55,889 167,668 83,834 41,917 125,752 62,876 31,438 15,719 47,158 23,579 70,738 35,369 106,108 53,054 26,527 79,582 39,791 119,374 59,687 179,062 89,531 268,594 134,297 402,892 201,446 100,723 302,170 151,085 453,256 226,628 113,314

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