5,409,774

2 × 3³ × 17 × 71 × 83

Starting at 5,409,774, the Collatz iteration reaches 1 after 139 steps. The first transition is 2704887; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 17 × 71 × 83

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 13,063,680

Proper Divisor Sum 7,653,906

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5409773 ← → #5409793

Radix Representation

Decimal	5409774
Binary	10100101000101111101110 (23 bits)
Octal	0o24505756
Hexadecimal	0x528BEE

Divisor Catalog (60 of 64)

1 2 3 6 9 17 18 27 34 51 54 71 83 102 142 153 166 213 249 306 426 459 498 639 747 918 1,207 1,278 1,411 1,494 1,917 2,241 2,414 2,822 3,621 3,834 4,233 4,482 5,893 7,242 8,466 10,863 11,786 12,699 17,679 21,726 25,398 32,589 35,358 38,097 53,037 65,178 76,194 100,181 106,074 159,111 200,362 300,543 318,222 601,086

Collatz Trajectory (139 steps to reach 1)

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

5,409,774 2,704,887 8,114,662 4,057,331 12,171,994 6,085,997 18,257,992 9,128,996 4,564,498 2,282,249 6,846,748 3,423,374 1,711,687 5,135,062 2,567,531 7,702,594 3,851,297 11,553,892 5,776,946 2,888,473 8,665,420 4,332,710 2,166,355 6,499,066 3,249,533 9,748,600 4,874,300 2,437,150 1,218,575 3,655,726 1,827,863 5,483,590 2,741,795 8,225,386 4,112,693 12,338,080 6,169,040 3,084,520 1,542,260 771,130 385,565 1,156,696 578,348 289,174 144,587 433,762 216,881 650,644 325,322 162,661 487,984 243,992 121,996 60,998 30,499 91,498 45,749 137,248 68,624 34,312

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