5,413,629

3 × 13 × 127 × 1093

5,413,629 factors as 3 × 13 × 127 × 1093. Its 16 positive divisors give a proper-divisor sum of 2,428,163, so this integer is deficient. The Collatz stopping time is 232 steps.

Prime Factor Structure

Factorization String 3 × 13 × 127 × 1093

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,841,792

Proper Divisor Sum 2,428,163

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #5413621 ← → #5413631

Radix Representation

Decimal	5413629
Binary	10100101001101011111101 (23 bits)
Octal	0o24515375
Hexadecimal	0x529AFD

Divisor Catalog (16)

1 3 13 39 127 381 1,093 1,651 3,279 4,953 14,209 42,627 138,811 416,433 1,804,543 5,413,629

Collatz Trajectory (232 steps to reach 1)

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

5,413,629 16,240,888 8,120,444 4,060,222 2,030,111 6,090,334 3,045,167 9,135,502 4,567,751 13,703,254 6,851,627 20,554,882 10,277,441 30,832,324 15,416,162 7,708,081 23,124,244 11,562,122 5,781,061 17,343,184 8,671,592 4,335,796 2,167,898 1,083,949 3,251,848 1,625,924 812,962 406,481 1,219,444 609,722 304,861 914,584 457,292 228,646 114,323 342,970 171,485 514,456 257,228 128,614 64,307 192,922 96,461 289,384 144,692 72,346 36,173 108,520 54,260 27,130 13,565 40,696 20,348 10,174 5,087 15,262 7,631 22,894 11,447 34,342

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