5,648,736

2⁵ × 3 × 29 × 2029

Starting at 5,648,736, the Collatz iteration reaches 1 after 201 steps. The first transition is 2824368; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 29 × 2029

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 15,346,800

Proper Divisor Sum 9,698,064

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #5648729 ← → #5648749

Radix Representation

Decimal	5648736
Binary	10101100011000101100000 (23 bits)
Octal	0o25430540
Hexadecimal	0x563160

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1,392 2,029 2,784 4,058 6,087 8,116 12,174 16,232 24,348 32,464 48,696 58,841 64,928 97,392 117,682 176,523 194,784 235,364 353,046 470,728 706,092 941,456 1,412,184 1,882,912 2,824,368 5,648,736

Collatz Trajectory (201 steps to reach 1)

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

5,648,736 2,824,368 1,412,184 706,092 353,046 176,523 529,570 264,785 794,356 397,178 198,589 595,768 297,884 148,942 74,471 223,414 111,707 335,122 167,561 502,684 251,342 125,671 377,014 188,507 565,522 282,761 848,284 424,142 212,071 636,214 318,107 954,322 477,161 1,431,484 715,742 357,871 1,073,614 536,807 1,610,422 805,211 2,415,634 1,207,817 3,623,452 1,811,726 905,863 2,717,590 1,358,795 4,076,386 2,038,193 6,114,580 3,057,290 1,528,645 4,585,936 2,292,968 1,146,484 573,242 286,621 859,864 429,932 214,966

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