4,012,124

2² × 101 × 9931

4,012,124 factors as 2^2 × 101 × 9931. Its 12 positive divisors give a proper-divisor sum of 3,079,324, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^2 × 101 × 9931

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,091,448

Proper Divisor Sum 3,079,324

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #4012111 ← → #4012133

Radix Representation

Decimal	4012124
Binary	1111010011100001011100 (22 bits)
Octal	0o17234134
Hexadecimal	0x3D385C

Divisor Catalog (12)

1 2 4 101 202 404 9,931 19,862 39,724 1,003,031 2,006,062 4,012,124

Collatz Trajectory (185 steps to reach 1)

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

4,012,124 2,006,062 1,003,031 3,009,094 1,504,547 4,513,642 2,256,821 6,770,464 3,385,232 1,692,616 846,308 423,154 211,577 634,732 317,366 158,683 476,050 238,025 714,076 357,038 178,519 535,558 267,779 803,338 401,669 1,205,008 602,504 301,252 150,626 75,313 225,940 112,970 56,485 169,456 84,728 42,364 21,182 10,591 31,774 15,887 47,662 23,831 71,494 35,747 107,242 53,621 160,864 80,432 40,216 20,108 10,054 5,027 15,082 7,541 22,624 11,312 5,656 2,828 1,414 707

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