5,537,376

2⁵ × 3³ × 13 × 17 × 29

Starting at 5,537,376, the Collatz iteration reaches 1 after 170 steps. The first transition is 2768688; the starting value is even with 192 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3^3 × 13 × 17 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 19,051,200

Proper Divisor Sum 13,513,824

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5537369 ← → #5537377

Radix Representation

Decimal	5537376
Binary	10101000111111001100000 (23 bits)
Octal	0o25077140
Hexadecimal	0x547E60

Divisor Catalog (60 of 192)

1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 29 32 34 36 39 48 51 52 54 58 68 72 78 87 96 102 104 108 116 117 136 144 153 156 174 204 208 216 221 232 234 261 272 288 306 312 348 351 377 408 416 432 442 459 464

Collatz Trajectory (170 steps to reach 1)

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

5,537,376 2,768,688 1,384,344 692,172 346,086 173,043 519,130 259,565 778,696 389,348 194,674 97,337 292,012 146,006 73,003 219,010 109,505 328,516 164,258 82,129 246,388 123,194 61,597 184,792 92,396 46,198 23,099 69,298 34,649 103,948 51,974 25,987 77,962 38,981 116,944 58,472 29,236 14,618 7,309 21,928 10,964 5,482 2,741 8,224 4,112 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164

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