4,045,652

2² × 13 × 77801

4,045,652 factors as 2^2 × 13 × 77801. Its 12 positive divisors give a proper-divisor sum of 3,578,944, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 77801

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,624,596

Proper Divisor Sum 3,578,944

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #4045633 ← → #4045663

Radix Representation

Decimal	4045652
Binary	1111011011101101010100 (22 bits)
Octal	0o17335524
Hexadecimal	0x3DBB54

Divisor Catalog (12)

1 2 4 13 26 52 77,801 155,602 311,204 1,011,413 2,022,826 4,045,652

Collatz Trajectory (198 steps to reach 1)

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

4,045,652 2,022,826 1,011,413 3,034,240 1,517,120 758,560 379,280 189,640 94,820 47,410 23,705 71,116 35,558 17,779 53,338 26,669 80,008 40,004 20,002 10,001 30,004 15,002 7,501 22,504 11,252 5,626 2,813 8,440 4,220 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697

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