4,028,542

2 × 7 × 23 × 12511

4,028,542 factors as 2 × 7 × 23 × 12511. Its 16 positive divisors give a proper-divisor sum of 3,178,370, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2 × 7 × 23 × 12511

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,206,912

Proper Divisor Sum 3,178,370

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #4028539 ← → #4028561

Radix Representation

Decimal	4028542
Binary	1111010111100001111110 (22 bits)
Octal	0o17274176
Hexadecimal	0x3D787E

Divisor Catalog (16)

1 2 7 14 23 46 161 322 12,511 25,022 87,577 175,154 287,753 575,506 2,014,271 4,028,542

Collatz Trajectory (185 steps to reach 1)

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

4,028,542 2,014,271 6,042,814 3,021,407 9,064,222 4,532,111 13,596,334 6,798,167 20,394,502 10,197,251 30,591,754 15,295,877 45,887,632 22,943,816 11,471,908 5,735,954 2,867,977 8,603,932 4,301,966 2,150,983 6,452,950 3,226,475 9,679,426 4,839,713 14,519,140 7,259,570 3,629,785 10,889,356 5,444,678 2,722,339 8,167,018 4,083,509 12,250,528 6,125,264 3,062,632 1,531,316 765,658 382,829 1,148,488 574,244 287,122 143,561 430,684 215,342 107,671 323,014 161,507 484,522 242,261 726,784 363,392 181,696 90,848 45,424 22,712 11,356 5,678 2,839 8,518 4,259

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