7,225,738

2 × 13 × 19 × 14627

Starting at 7,225,738, the Collatz iteration reaches 1 after 90 steps. The first transition is 3612869; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 19 × 14627

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,287,520

Proper Divisor Sum 5,061,782

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7225723 ← → #7225739

Radix Representation

Decimal	7225738
Binary	11011100100000110001010 (23 bits)
Octal	0o33440612
Hexadecimal	0x6E418A

Divisor Catalog (16)

1 2 13 19 26 38 247 494 14,627 29,254 190,151 277,913 380,302 555,826 3,612,869 7,225,738

Collatz Trajectory (90 steps to reach 1)

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

7,225,738 3,612,869 10,838,608 5,419,304 2,709,652 1,354,826 677,413 2,032,240 1,016,120 508,060 254,030 127,015 381,046 190,523 571,570 285,785 857,356 428,678 214,339 643,018 321,509 964,528 482,264 241,132 120,566 60,283 180,850 90,425 271,276 135,638 67,819 203,458 101,729 305,188 152,594 76,297 228,892 114,446 57,223 171,670 85,835 257,506 128,753 386,260 193,130 96,565 289,696 144,848 72,424 36,212 18,106 9,053 27,160 13,580 6,790 3,395 10,186 5,093 15,280 7,640

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