6,548,297

7 × 37 × 131 × 193

Starting at 6,548,297, the Collatz iteration reaches 1 after 90 steps. The first transition is 19644892; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 37 × 131 × 193

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,784,832

Proper Divisor Sum 1,236,535

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #6548291 ← → #6548299

Radix Representation

Decimal	6548297
Binary	11000111110101101001001 (23 bits)
Octal	0o30765511
Hexadecimal	0x63EB49

Divisor Catalog (16)

1 7 37 131 193 259 917 1,351 4,847 7,141 25,283 33,929 49,987 176,981 935,471 6,548,297

Collatz Trajectory (90 steps to reach 1)

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

6,548,297 19,644,892 9,822,446 4,911,223 14,733,670 7,366,835 22,100,506 11,050,253 33,150,760 16,575,380 8,287,690 4,143,845 12,431,536 6,215,768 3,107,884 1,553,942 776,971 2,330,914 1,165,457 3,496,372 1,748,186 874,093 2,622,280 1,311,140 655,570 327,785 983,356 491,678 245,839 737,518 368,759 1,106,278 553,139 1,659,418 829,709 2,489,128 1,244,564 622,282 311,141 933,424 466,712 233,356 116,678 58,339 175,018 87,509 262,528 131,264 65,632 32,816 16,408 8,204 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154

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