λ
Math Directory

8,372,355

3 × 5 × 103 × 5419
Deficient Odd Composite

8,372,355 factors as 3 × 5 × 103 × 5419. Its 16 positive divisors give a proper-divisor sum of 5,155,965, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 3 × 5 × 103 × 5419
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,528,320
Proper Divisor Sum 5,155,965
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8372327 ← → #8372359

Radix Representation

Decimal 8372355
Binary 11111111100000010000011 (23 bits)
Octal 0o37740203
Hexadecimal 0x7FC083

Divisor Catalog (16)

1 3 5 15 103 309 515 1,545 5,419 16,257 27,095 81,285 558,157 1,674,471 2,790,785 8,372,355

Collatz Trajectory (137 steps to reach 1)

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

8,372,355 25,117,066 12,558,533 37,675,600 18,837,800 9,418,900 4,709,450 2,354,725 7,064,176 3,532,088 1,766,044 883,022 441,511 1,324,534 662,267 1,986,802 993,401 2,980,204 1,490,102 745,051 2,235,154 1,117,577 3,352,732 1,676,366 838,183 2,514,550 1,257,275 3,771,826 1,885,913 5,657,740 2,828,870 1,414,435 4,243,306 2,121,653 6,364,960 3,182,480 1,591,240 795,620 397,810 198,905 596,716 298,358 149,179 447,538 223,769 671,308 335,654 167,827 503,482 251,741 755,224 377,612 188,806 94,403 283,210 141,605 424,816 212,408 106,204 53,102

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