7,134,577

17 × 23 × 71 × 257

Starting at 7,134,577, the Collatz iteration reaches 1 after 72 steps. The first transition is 21403732; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 17 × 23 × 71 × 257

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,024,832

Proper Divisor Sum 890,255

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7134527 ← → #7134583

Radix Representation

Decimal	7134577
Binary	11011001101110101110001 (23 bits)
Octal	0o33156561
Hexadecimal	0x6CDD71

Divisor Catalog (16)

1 17 23 71 257 391 1,207 1,633 4,369 5,911 18,247 27,761 100,487 310,199 419,681 7,134,577

Collatz Trajectory (72 steps to reach 1)

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

7,134,577 21,403,732 10,701,866 5,350,933 16,052,800 8,026,400 4,013,200 2,006,600 1,003,300 501,650 250,825 752,476 376,238 188,119 564,358 282,179 846,538 423,269 1,269,808 634,904 317,452 158,726 79,363 238,090 119,045 357,136 178,568 89,284 44,642 22,321 66,964 33,482 16,741 50,224 25,112 12,556 6,278 3,139 9,418 4,709 14,128 7,064 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35

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