7,604,496

2⁴ × 3³ × 29 × 607

7,604,496 factors as 2^4 × 3^3 × 29 × 607. Its 80 positive divisors give a proper-divisor sum of 15,013,104, so this integer is abundant. The Collatz stopping time is 248 steps.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 29 × 607

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 22,617,600

Proper Divisor Sum 15,013,104

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7604489 ← → #7604497

Radix Representation

Decimal	7604496
Binary	11101000000100100010000 (23 bits)
Octal	0o35004420
Hexadecimal	0x740910

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 607 696 783 1,044 1,214 1,392 1,566 1,821 2,088 2,428 3,132 3,642 4,176 4,856 5,463 6,264 7,284 9,712 10,926 12,528 14,568 16,389 17,603 21,852 29,136 32,778 35,206 43,704 52,809 65,556

Collatz Trajectory (248 steps to reach 1)

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

7,604,496 3,802,248 1,901,124 950,562 475,281 1,425,844 712,922 356,461 1,069,384 534,692 267,346 133,673 401,020 200,510 100,255 300,766 150,383 451,150 225,575 676,726 338,363 1,015,090 507,545 1,522,636 761,318 380,659 1,141,978 570,989 1,712,968 856,484 428,242 214,121 642,364 321,182 160,591 481,774 240,887 722,662 361,331 1,083,994 541,997 1,625,992 812,996 406,498 203,249 609,748 304,874 152,437 457,312 228,656 114,328 57,164 28,582 14,291 42,874 21,437 64,312 32,156 16,078 8,039

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