3,702,008

2³ × 359 × 1289

3,702,008 factors as 2^3 × 359 × 1289. Its 16 positive divisors give a proper-divisor sum of 3,263,992, so this integer is deficient. The Collatz stopping time is 190 steps.

Prime Factor Structure

Factorization String 2^3 × 359 × 1289

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,966,000

Proper Divisor Sum 3,263,992

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #3702007 ← → #3702031

Radix Representation

Decimal	3702008
Binary	1110000111110011111000 (22 bits)
Octal	0o16076370
Hexadecimal	0x387CF8

Divisor Catalog (16)

1 2 4 8 359 718 1,289 1,436 2,578 2,872 5,156 10,312 462,751 925,502 1,851,004 3,702,008

Collatz Trajectory (190 steps to reach 1)

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

3,702,008 1,851,004 925,502 462,751 1,388,254 694,127 2,082,382 1,041,191 3,123,574 1,561,787 4,685,362 2,342,681 7,028,044 3,514,022 1,757,011 5,271,034 2,635,517 7,906,552 3,953,276 1,976,638 988,319 2,964,958 1,482,479 4,447,438 2,223,719 6,671,158 3,335,579 10,006,738 5,003,369 15,010,108 7,505,054 3,752,527 11,257,582 5,628,791 16,886,374 8,443,187 25,329,562 12,664,781 37,994,344 18,997,172 9,498,586 4,749,293 14,247,880 7,123,940 3,561,970 1,780,985 5,342,956 2,671,478 1,335,739 4,007,218 2,003,609 6,010,828 3,005,414 1,502,707 4,508,122 2,254,061 6,762,184 3,381,092 1,690,546 845,273

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