3,678,059

7 × 11 × 37 × 1291

3,678,059 factors as 7 × 11 × 37 × 1291. Its 16 positive divisors give a proper-divisor sum of 1,035,157, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 7 × 11 × 37 × 1291

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,713,216

Proper Divisor Sum 1,035,157

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #3678053 ← → #3678061

Radix Representation

Decimal	3678059
Binary	1110000001111101101011 (22 bits)
Octal	0o16017553
Hexadecimal	0x381F6B

Divisor Catalog (16)

1 7 11 37 77 259 407 1,291 2,849 9,037 14,201 47,767 99,407 334,369 525,437 3,678,059

Collatz Trajectory (159 steps to reach 1)

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

3,678,059 11,034,178 5,517,089 16,551,268 8,275,634 4,137,817 12,413,452 6,206,726 3,103,363 9,310,090 4,655,045 13,965,136 6,982,568 3,491,284 1,745,642 872,821 2,618,464 1,309,232 654,616 327,308 163,654 81,827 245,482 122,741 368,224 184,112 92,056 46,028 23,014 11,507 34,522 17,261 51,784 25,892 12,946 6,473 19,420 9,710 4,855 14,566 7,283 21,850 10,925 32,776 16,388 8,194 4,097 12,292 6,146 3,073 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297 3,892

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