7,604,448

2⁵ × 3 × 113 × 701

Starting at 7,604,448, the Collatz iteration reaches 1 after 191 steps. The first transition is 3802224; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 113 × 701

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 20,167,056

Proper Divisor Sum 12,562,608

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7604447 ← → #7604449

Radix Representation

Decimal	7604448
Binary	11101000000100011100000 (23 bits)
Octal	0o35004340
Hexadecimal	0x7408E0

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 701 904 1,356 1,402 1,808 2,103 2,712 2,804 3,616 4,206 5,424 5,608 8,412 10,848 11,216 16,824 22,432 33,648 67,296 79,213 158,426 237,639 316,852 475,278 633,704 950,556 1,267,408 1,901,112 2,534,816 3,802,224 7,604,448

Collatz Trajectory (191 steps to reach 1)

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

7,604,448 3,802,224 1,901,112 950,556 475,278 237,639 712,918 356,459 1,069,378 534,689 1,604,068 802,034 401,017 1,203,052 601,526 300,763 902,290 451,145 1,353,436 676,718 338,359 1,015,078 507,539 1,522,618 761,309 2,283,928 1,141,964 570,982 285,491 856,474 428,237 1,284,712 642,356 321,178 160,589 481,768 240,884 120,442 60,221 180,664 90,332 45,166 22,583 67,750 33,875 101,626 50,813 152,440 76,220 38,110 19,055 57,166 28,583 85,750 42,875 128,626 64,313 192,940 96,470 48,235

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