4,049,725

5² × 23 × 7043

For 4,049,725, the 12 positive divisors have a total of 5,240,736. Removing 4,049,725 leaves 1,191,011, which gives the deficient classification.

Prime Factor Structure

Factorization String 5^2 × 23 × 7043

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,240,736

Proper Divisor Sum 1,191,011

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4049711 ← → #4049737

Radix Representation

Decimal	4049725
Binary	1111011100101100111101 (22 bits)
Octal	0o17345475
Hexadecimal	0x3DCB3D

Divisor Catalog (12)

1 5 23 25 115 575 7,043 35,215 161,989 176,075 809,945 4,049,725

Collatz Trajectory (136 steps to reach 1)

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

4,049,725 12,149,176 6,074,588 3,037,294 1,518,647 4,555,942 2,277,971 6,833,914 3,416,957 10,250,872 5,125,436 2,562,718 1,281,359 3,844,078 1,922,039 5,766,118 2,883,059 8,649,178 4,324,589 12,973,768 6,486,884 3,243,442 1,621,721 4,865,164 2,432,582 1,216,291 3,648,874 1,824,437 5,473,312 2,736,656 1,368,328 684,164 342,082 171,041 513,124 256,562 128,281 384,844 192,422 96,211 288,634 144,317 432,952 216,476 108,238 54,119 162,358 81,179 243,538 121,769 365,308 182,654 91,327 273,982 136,991 410,974 205,487 616,462 308,231 924,694

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