5,886,496

2⁵ × 7 × 11 × 2389

Starting at 5,886,496, the Collatz iteration reaches 1 after 152 steps. The first transition is 2943248; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 7 × 11 × 2389

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 14,454,720

Proper Divisor Sum 8,568,224

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #5886487 ← → #5886499

Radix Representation

Decimal	5886496
Binary	10110011101001000100000 (23 bits)
Octal	0o26351040
Hexadecimal	0x59D220

Divisor Catalog (48)

1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1,232 2,389 2,464 4,778 9,556 16,723 19,112 26,279 33,446 38,224 52,558 66,892 76,448 105,116 133,784 183,953 210,232 267,568 367,906 420,464 535,136 735,812 840,928 1,471,624 2,943,248 5,886,496

Collatz Trajectory (152 steps to reach 1)

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

5,886,496 2,943,248 1,471,624 735,812 367,906 183,953 551,860 275,930 137,965 413,896 206,948 103,474 51,737 155,212 77,606 38,803 116,410 58,205 174,616 87,308 43,654 21,827 65,482 32,741 98,224 49,112 24,556 12,278 6,139 18,418 9,209 27,628 13,814 6,907 20,722 10,361 31,084 15,542 7,771 23,314 11,657 34,972 17,486 8,743 26,230 13,115 39,346 19,673 59,020 29,510 14,755 44,266 22,133 66,400 33,200 16,600 8,300 4,150 2,075 6,226

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