5,865,216

2⁸ × 3 × 7 × 1091

Starting at 5,865,216, the Collatz iteration reaches 1 after 152 steps. The first transition is 2932608; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^8 × 3 × 7 × 1091

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 17,856,384

Proper Divisor Sum 11,991,168

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #5865199 ← → #5865227

Radix Representation

Decimal	5865216
Binary	10110010111111100000000 (23 bits)
Octal	0o26277400
Hexadecimal	0x597F00

Divisor Catalog (60 of 72)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1,091 1,344 1,792 2,182 2,688 3,273 4,364 5,376 6,546 7,637 8,728 13,092 15,274 17,456 22,911 26,184 30,548 34,912 45,822 52,368 61,096 69,824 91,644 104,736 122,192 139,648 183,288 209,472

Collatz Trajectory (152 steps to reach 1)

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

5,865,216 2,932,608 1,466,304 733,152 366,576 183,288 91,644 45,822 22,911 68,734 34,367 103,102 51,551 154,654 77,327 231,982 115,991 347,974 173,987 521,962 260,981 782,944 391,472 195,736 97,868 48,934 24,467 73,402 36,701 110,104 55,052 27,526 13,763 41,290 20,645 61,936 30,968 15,484 7,742 3,871 11,614 5,807 17,422 8,711 26,134 13,067 39,202 19,601 58,804 29,402 14,701 44,104 22,052 11,026 5,513 16,540 8,270 4,135 12,406 6,203

← Previous Integer #5,865,215 Browse Full Index Next Integer #5,865,217 →