3,678,344

2³ × 23 × 19991

Starting at 3,678,344, the Collatz iteration reaches 1 after 97 steps. The first transition is 1839172; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 23 × 19991

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,197,120

Proper Divisor Sum 3,518,776

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3678317 ← → #3678347

Radix Representation

Decimal	3678344
Binary	1110000010000010001000 (22 bits)
Octal	0o16020210
Hexadecimal	0x382088

Divisor Catalog (16)

1 2 4 8 23 46 92 184 19,991 39,982 79,964 159,928 459,793 919,586 1,839,172 3,678,344

Collatz Trajectory (97 steps to reach 1)

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

3,678,344 1,839,172 919,586 459,793 1,379,380 689,690 344,845 1,034,536 517,268 258,634 129,317 387,952 193,976 96,988 48,494 24,247 72,742 36,371 109,114 54,557 163,672 81,836 40,918 20,459 61,378 30,689 92,068 46,034 23,017 69,052 34,526 17,263 51,790 25,895 77,686 38,843 116,530 58,265 174,796 87,398 43,699 131,098 65,549 196,648 98,324 49,162 24,581 73,744 36,872 18,436 9,218 4,609 13,828 6,914 3,457 10,372 5,186 2,593 7,780 3,890

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