7,658,976

2⁵ × 3 × 13 × 17 × 19²

Prime Factor Structure

Factorization String 2^5 × 3 × 13 × 17 × 19^2

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 24,195,024

Proper Divisor Sum 16,536,048

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #7658969 ← → #7659011

Radix Representation

Decimal	7658976
Binary	11101001101110111100000 (23 bits)
Octal	0o35156740
Hexadecimal	0x74DDE0

Divisor Catalog (60 of 144)

1 2 3 4 6 8 12 13 16 17 19 24 26 32 34 38 39 48 51 52 57 68 76 78 96 102 104 114 136 152 156 204 208 221 228 247 272 304 312 323 361 408 416 442 456 494 544 608 624 646 663 722 741 816 884 912 969 988 1,083 1,248

Collatz Trajectory (124 steps to reach 1)

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

7,658,976 3,829,488 1,914,744 957,372 478,686 239,343 718,030 359,015 1,077,046 538,523 1,615,570 807,785 2,423,356 1,211,678 605,839 1,817,518 908,759 2,726,278 1,363,139 4,089,418 2,044,709 6,134,128 3,067,064 1,533,532 766,766 383,383 1,150,150 575,075 1,725,226 862,613 2,587,840 1,293,920 646,960 323,480 161,740 80,870 40,435 121,306 60,653 181,960 90,980 45,490 22,745 68,236 34,118 17,059 51,178 25,589 76,768 38,384 19,192 9,596 4,798 2,399 7,198 3,599 10,798 5,399 16,198 8,099

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