3,617,416

2³ × 11² × 37 × 101

Starting at 3,617,416, the Collatz iteration reaches 1 after 141 steps. The first transition is 1808708; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 11^2 × 37 × 101

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 7,732,620

Proper Divisor Sum 4,115,204

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3617407 ← → #3617441

Radix Representation

Decimal	3617416
Binary	1101110011001010001000 (22 bits)
Octal	0o15631210
Hexadecimal	0x373288

Divisor Catalog (48)

1 2 4 8 11 22 37 44 74 88 101 121 148 202 242 296 404 407 484 808 814 968 1,111 1,628 2,222 3,256 3,737 4,444 4,477 7,474 8,888 8,954 12,221 14,948 17,908 24,442 29,896 35,816 41,107 48,884 82,214 97,768 164,428 328,856 452,177 904,354 1,808,708 3,617,416

Collatz Trajectory (141 steps to reach 1)

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

3,617,416 1,808,708 904,354 452,177 1,356,532 678,266 339,133 1,017,400 508,700 254,350 127,175 381,526 190,763 572,290 286,145 858,436 429,218 214,609 643,828 321,914 160,957 482,872 241,436 120,718 60,359 181,078 90,539 271,618 135,809 407,428 203,714 101,857 305,572 152,786 76,393 229,180 114,590 57,295 171,886 85,943 257,830 128,915 386,746 193,373 580,120 290,060 145,030 72,515 217,546 108,773 326,320 163,160 81,580 40,790 20,395 61,186 30,593 91,780 45,890 22,945

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