2,716,468

2² × 19 × 31 × 1153

Starting at 2,716,468, the Collatz iteration reaches 1 after 156 steps. The first transition is 1358234; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 19 × 31 × 1153

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,169,920

Proper Divisor Sum 2,453,452

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #2716463 ← → #2716471

Radix Representation

Decimal	2716468
Binary	1010010111001100110100 (22 bits)
Octal	0o12271464
Hexadecimal	0x297334

Divisor Catalog (24)

1 2 4 19 31 38 62 76 124 589 1,153 1,178 2,306 2,356 4,612 21,907 35,743 43,814 71,486 87,628 142,972 679,117 1,358,234 2,716,468

Collatz Trajectory (156 steps to reach 1)

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

2,716,468 1,358,234 679,117 2,037,352 1,018,676 509,338 254,669 764,008 382,004 191,002 95,501 286,504 143,252 71,626 35,813 107,440 53,720 26,860 13,430 6,715 20,146 10,073 30,220 15,110 7,555 22,666 11,333 34,000 17,000 8,500 4,250 2,125 6,376 3,188 1,594 797 2,392 1,196 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485

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