4,153,576

2³ × 7 × 17 × 4363

Starting at 4,153,576, the Collatz iteration reaches 1 after 229 steps. The first transition is 2076788; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 17 × 4363

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 9,426,240

Proper Divisor Sum 5,272,664

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4153561 ← → #4153579

Radix Representation

Decimal	4153576
Binary	1111110110000011101000 (22 bits)
Octal	0o17660350
Hexadecimal	0x3F60E8

Divisor Catalog (32)

1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 952 4,363 8,726 17,452 30,541 34,904 61,082 74,171 122,164 148,342 244,328 296,684 519,197 593,368 1,038,394 2,076,788 4,153,576

Collatz Trajectory (229 steps to reach 1)

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

4,153,576 2,076,788 1,038,394 519,197 1,557,592 778,796 389,398 194,699 584,098 292,049 876,148 438,074 219,037 657,112 328,556 164,278 82,139 246,418 123,209 369,628 184,814 92,407 277,222 138,611 415,834 207,917 623,752 311,876 155,938 77,969 233,908 116,954 58,477 175,432 87,716 43,858 21,929 65,788 32,894 16,447 49,342 24,671 74,014 37,007 111,022 55,511 166,534 83,267 249,802 124,901 374,704 187,352 93,676 46,838 23,419 70,258 35,129 105,388 52,694 26,347

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