3,690,142

2 × 19³ × 269

3,690,142 factors as 2 × 19^3 × 269. Its 16 positive divisors give a proper-divisor sum of 2,174,258, so this integer is deficient. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2 × 19^3 × 269

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,864,400

Proper Divisor Sum 2,174,258

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3690119 ← → #3690149

Radix Representation

Decimal	3690142
Binary	1110000100111010011110 (22 bits)
Octal	0o16047236
Hexadecimal	0x384E9E

Divisor Catalog (16)

1 2 19 38 269 361 538 722 5,111 6,859 10,222 13,718 97,109 194,218 1,845,071 3,690,142

Collatz Trajectory (128 steps to reach 1)

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

3,690,142 1,845,071 5,535,214 2,767,607 8,302,822 4,151,411 12,454,234 6,227,117 18,681,352 9,340,676 4,670,338 2,335,169 7,005,508 3,502,754 1,751,377 5,254,132 2,627,066 1,313,533 3,940,600 1,970,300 985,150 492,575 1,477,726 738,863 2,216,590 1,108,295 3,324,886 1,662,443 4,987,330 2,493,665 7,480,996 3,740,498 1,870,249 5,610,748 2,805,374 1,402,687 4,208,062 2,104,031 6,312,094 3,156,047 9,468,142 4,734,071 14,202,214 7,101,107 21,303,322 10,651,661 31,954,984 15,977,492 7,988,746 3,994,373 11,983,120 5,991,560 2,995,780 1,497,890 748,945 2,246,836 1,123,418 561,709 1,685,128 842,564

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