7,240,752

2⁴ × 3⁴ × 37 × 151

7,240,752 factors as 2^4 × 3^4 × 37 × 151. Its 100 positive divisors give a proper-divisor sum of 14,425,024, so this integer is abundant. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2^4 × 3^4 × 37 × 151

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 100

Divisor Sum (σ) 21,665,776

Proper Divisor Sum 14,425,024

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7240741 ← → #7240769

Radix Representation

Decimal	7240752
Binary	11011100111110000110000 (23 bits)
Octal	0o33476060
Hexadecimal	0x6E7C30

Divisor Catalog (60 of 100)

1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 111 144 148 151 162 216 222 296 302 324 333 432 444 453 592 604 648 666 888 906 999 1,208 1,296 1,332 1,359 1,776 1,812 1,998 2,416 2,664 2,718 2,997 3,624 3,996 4,077 5,328 5,436 5,587 5,994 7,248

Collatz Trajectory (235 steps to reach 1)

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

7,240,752 3,620,376 1,810,188 905,094 452,547 1,357,642 678,821 2,036,464 1,018,232 509,116 254,558 127,279 381,838 190,919 572,758 286,379 859,138 429,569 1,288,708 644,354 322,177 966,532 483,266 241,633 724,900 362,450 181,225 543,676 271,838 135,919 407,758 203,879 611,638 305,819 917,458 458,729 1,376,188 688,094 344,047 1,032,142 516,071 1,548,214 774,107 2,322,322 1,161,161 3,483,484 1,741,742 870,871 2,612,614 1,306,307 3,918,922 1,959,461 5,878,384 2,939,192 1,469,596 734,798 367,399 1,102,198 551,099 1,653,298

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