4,971,764

2² × 7 × 37 × 4799

4,971,764 factors as 2^2 × 7 × 37 × 4799. Its 24 positive divisors give a proper-divisor sum of 5,242,636, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 37 × 4799

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,214,400

Proper Divisor Sum 5,242,636

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #4971763 ← → #4971773

Radix Representation

Decimal	4971764
Binary	10010111101110011110100 (23 bits)
Octal	0o22756364
Hexadecimal	0x4BDCF4

Divisor Catalog (24)

1 2 4 7 14 28 37 74 148 259 518 1,036 4,799 9,598 19,196 33,593 67,186 134,372 177,563 355,126 710,252 1,242,941 2,485,882 4,971,764

Collatz Trajectory (175 steps to reach 1)

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

4,971,764 2,485,882 1,242,941 3,728,824 1,864,412 932,206 466,103 1,398,310 699,155 2,097,466 1,048,733 3,146,200 1,573,100 786,550 393,275 1,179,826 589,913 1,769,740 884,870 442,435 1,327,306 663,653 1,990,960 995,480 497,740 248,870 124,435 373,306 186,653 559,960 279,980 139,990 69,995 209,986 104,993 314,980 157,490 78,745 236,236 118,118 59,059 177,178 88,589 265,768 132,884 66,442 33,221 99,664 49,832 24,916 12,458 6,229 18,688 9,344 4,672 2,336 1,168 584 292 146

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