7,748,845

5 × 13 × 97 × 1229

7,748,845 factors as 5 × 13 × 97 × 1229. Its 16 positive divisors give a proper-divisor sum of 2,376,515, so this integer is deficient. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 5 × 13 × 97 × 1229

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,125,360

Proper Divisor Sum 2,376,515

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #7748837 ← → #7748863

Radix Representation

Decimal	7748845
Binary	11101100011110011101101 (23 bits)
Octal	0o35436355
Hexadecimal	0x763CED

Divisor Catalog (16)

1 5 13 65 97 485 1,229 1,261 6,145 6,305 15,977 79,885 119,213 596,065 1,549,769 7,748,845

Collatz Trajectory (217 steps to reach 1)

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

7,748,845 23,246,536 11,623,268 5,811,634 2,905,817 8,717,452 4,358,726 2,179,363 6,538,090 3,269,045 9,807,136 4,903,568 2,451,784 1,225,892 612,946 306,473 919,420 459,710 229,855 689,566 344,783 1,034,350 517,175 1,551,526 775,763 2,327,290 1,163,645 3,490,936 1,745,468 872,734 436,367 1,309,102 654,551 1,963,654 981,827 2,945,482 1,472,741 4,418,224 2,209,112 1,104,556 552,278 276,139 828,418 414,209 1,242,628 621,314 310,657 931,972 465,986 232,993 698,980 349,490 174,745 524,236 262,118 131,059 393,178 196,589 589,768 294,884

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