3,692,050

2 × 5² × 41 × 1801

For 3,692,050, the 24 positive divisors have a total of 7,038,612. Removing 3,692,050 leaves 3,346,562, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 5^2 × 41 × 1801

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,038,612

Proper Divisor Sum 3,346,562

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3692041 ← → #3692053

Radix Representation

Decimal	3692050
Binary	1110000101011000010010 (22 bits)
Octal	0o16053022
Hexadecimal	0x385612

Divisor Catalog (24)

1 2 5 10 25 41 50 82 205 410 1,025 1,801 2,050 3,602 9,005 18,010 45,025 73,841 90,050 147,682 369,205 738,410 1,846,025 3,692,050

Collatz Trajectory (164 steps to reach 1)

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

3,692,050 1,846,025 5,538,076 2,769,038 1,384,519 4,153,558 2,076,779 6,230,338 3,115,169 9,345,508 4,672,754 2,336,377 7,009,132 3,504,566 1,752,283 5,256,850 2,628,425 7,885,276 3,942,638 1,971,319 5,913,958 2,956,979 8,870,938 4,435,469 13,306,408 6,653,204 3,326,602 1,663,301 4,989,904 2,494,952 1,247,476 623,738 311,869 935,608 467,804 233,902 116,951 350,854 175,427 526,282 263,141 789,424 394,712 197,356 98,678 49,339 148,018 74,009 222,028 111,014 55,507 166,522 83,261 249,784 124,892 62,446 31,223 93,670 46,835 140,506

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