3,737,078

2 × 509 × 3671

3,737,078 has digital root 8. The neighboring primes are 3737077 and 3737117; its proper-divisor sum differs from the starting integer by -1,855,996.

Prime Factor Structure

Factorization String 2 × 509 × 3671

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,618,160

Proper Divisor Sum 1,881,082

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3737077 ← → #3737117

Radix Representation

Decimal	3737078
Binary	1110010000010111110110 (22 bits)
Octal	0o16202766
Hexadecimal	0x3905F6

Divisor Catalog (8)

1 2 509 1,018 3,671 7,342 1,868,539 3,737,078

Collatz Trajectory (159 steps to reach 1)

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

3,737,078 1,868,539 5,605,618 2,802,809 8,408,428 4,204,214 2,102,107 6,306,322 3,153,161 9,459,484 4,729,742 2,364,871 7,094,614 3,547,307 10,641,922 5,320,961 15,962,884 7,981,442 3,990,721 11,972,164 5,986,082 2,993,041 8,979,124 4,489,562 2,244,781 6,734,344 3,367,172 1,683,586 841,793 2,525,380 1,262,690 631,345 1,894,036 947,018 473,509 1,420,528 710,264 355,132 177,566 88,783 266,350 133,175 399,526 199,763 599,290 299,645 898,936 449,468 224,734 112,367 337,102 168,551 505,654 252,827 758,482 379,241 1,137,724 568,862 284,431 853,294

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