6,153,516

2² × 3³ × 227 × 251

Starting at 6,153,516, the Collatz iteration reaches 1 after 90 steps. The first transition is 3076758; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 227 × 251

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 16,087,680

Proper Divisor Sum 9,934,164

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6153509 ← → #6153557

Radix Representation

Decimal	6153516
Binary	10111011110010100101100 (23 bits)
Octal	0o27362454
Hexadecimal	0x5DE52C

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 54 108 227 251 454 502 681 753 908 1,004 1,362 1,506 2,043 2,259 2,724 3,012 4,086 4,518 6,129 6,777 8,172 9,036 12,258 13,554 24,516 27,108 56,977 113,954 170,931 227,908 341,862 512,793 683,724 1,025,586 1,538,379 2,051,172 3,076,758 6,153,516

Collatz Trajectory (90 steps to reach 1)

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

6,153,516 3,076,758 1,538,379 4,615,138 2,307,569 6,922,708 3,461,354 1,730,677 5,192,032 2,596,016 1,298,008 649,004 324,502 162,251 486,754 243,377 730,132 365,066 182,533 547,600 273,800 136,900 68,450 34,225 102,676 51,338 25,669 77,008 38,504 19,252 9,626 4,813 14,440 7,220 3,610 1,805 5,416 2,708 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093

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