4,357,972

2² × 41 × 26573

4,357,972 factors as 2^2 × 41 × 26573. Its 12 positive divisors give a proper-divisor sum of 3,454,784, so this integer is deficient. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 2^2 × 41 × 26573

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,812,756

Proper Divisor Sum 3,454,784

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #4357961 ← → #4357993

Radix Representation

Decimal	4357972
Binary	10000100111111101010100 (23 bits)
Octal	0o20477524
Hexadecimal	0x427F54

Divisor Catalog (12)

1 2 4 41 82 164 26,573 53,146 106,292 1,089,493 2,178,986 4,357,972

Collatz Trajectory (224 steps to reach 1)

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

4,357,972 2,178,986 1,089,493 3,268,480 1,634,240 817,120 408,560 204,280 102,140 51,070 25,535 76,606 38,303 114,910 57,455 172,366 86,183 258,550 129,275 387,826 193,913 581,740 290,870 145,435 436,306 218,153 654,460 327,230 163,615 490,846 245,423 736,270 368,135 1,104,406 552,203 1,656,610 828,305 2,484,916 1,242,458 621,229 1,863,688 931,844 465,922 232,961 698,884 349,442 174,721 524,164 262,082 131,041 393,124 196,562 98,281 294,844 147,422 73,711 221,134 110,567 331,702 165,851

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