5,834,368

2⁷ × 19 × 2399

Starting at 5,834,368, the Collatz iteration reaches 1 after 77 steps. The first transition is 2917184; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 19 × 2399

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 12,240,000

Proper Divisor Sum 6,405,632

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #5834363 ← → #5834371

Radix Representation

Decimal	5834368
Binary	10110010000011010000000 (23 bits)
Octal	0o26203200
Hexadecimal	0x590680

Divisor Catalog (32)

1 2 4 8 16 19 32 38 64 76 128 152 304 608 1,216 2,399 2,432 4,798 9,596 19,192 38,384 45,581 76,768 91,162 153,536 182,324 307,072 364,648 729,296 1,458,592 2,917,184 5,834,368

Collatz Trajectory (77 steps to reach 1)

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

5,834,368 2,917,184 1,458,592 729,296 364,648 182,324 91,162 45,581 136,744 68,372 34,186 17,093 51,280 25,640 12,820 6,410 3,205 9,616 4,808 2,404 1,202 601 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29

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