7,341,792

2⁵ × 3 × 31 × 2467

Starting at 7,341,792, the Collatz iteration reaches 1 after 204 steps. The first transition is 3670896; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 31 × 2467

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 19,901,952

Proper Divisor Sum 12,560,160

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7341781 ← → #7341811

Radix Representation

Decimal	7341792
Binary	11100000000011011100000 (23 bits)
Octal	0o34003340
Hexadecimal	0x7006E0

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1,488 2,467 2,976 4,934 7,401 9,868 14,802 19,736 29,604 39,472 59,208 76,477 78,944 118,416 152,954 229,431 236,832 305,908 458,862 611,816 917,724 1,223,632 1,835,448 2,447,264 3,670,896 7,341,792

Collatz Trajectory (204 steps to reach 1)

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

7,341,792 3,670,896 1,835,448 917,724 458,862 229,431 688,294 344,147 1,032,442 516,221 1,548,664 774,332 387,166 193,583 580,750 290,375 871,126 435,563 1,306,690 653,345 1,960,036 980,018 490,009 1,470,028 735,014 367,507 1,102,522 551,261 1,653,784 826,892 413,446 206,723 620,170 310,085 930,256 465,128 232,564 116,282 58,141 174,424 87,212 43,606 21,803 65,410 32,705 98,116 49,058 24,529 73,588 36,794 18,397 55,192 27,596 13,798 6,899 20,698 10,349 31,048 15,524 7,762

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