7,241,504

2⁵ × 23 × 9839

Starting at 7,241,504, the Collatz iteration reaches 1 after 142 steps. The first transition is 3620752; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 23 × 9839

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,878,080

Proper Divisor Sum 7,636,576

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #7241497 ← → #7241513

Radix Representation

Decimal	7241504
Binary	11011100111111100100000 (23 bits)
Octal	0o33477440
Hexadecimal	0x6E7F20

Divisor Catalog (24)

1 2 4 8 16 23 32 46 92 184 368 736 9,839 19,678 39,356 78,712 157,424 226,297 314,848 452,594 905,188 1,810,376 3,620,752 7,241,504

Collatz Trajectory (142 steps to reach 1)

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

7,241,504 3,620,752 1,810,376 905,188 452,594 226,297 678,892 339,446 169,723 509,170 254,585 763,756 381,878 190,939 572,818 286,409 859,228 429,614 214,807 644,422 322,211 966,634 483,317 1,449,952 724,976 362,488 181,244 90,622 45,311 135,934 67,967 203,902 101,951 305,854 152,927 458,782 229,391 688,174 344,087 1,032,262 516,131 1,548,394 774,197 2,322,592 1,161,296 580,648 290,324 145,162 72,581 217,744 108,872 54,436 27,218 13,609 40,828 20,414 10,207 30,622 15,311 45,934

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