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Atlas › Integer Profiles › Node 10,588,630

10,588,630

2 × 5 × 13 × 47 × 1733
Deficient Even Composite

10,588,630 factors as 2 × 5 × 13 × 47 × 1733. Its 32 positive divisors give a proper-divisor sum of 10,385,834, so this integer is deficient. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 47 × 1733
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,974,464
Proper Divisor Sum 10,385,834
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #10588609 ← → #10588631

Radix Representation

Decimal 10588630
Binary 101000011001000111010110 (24 bits)
Octal 0o50310726
Hexadecimal 0xA191D6

Divisor Catalog (32)

1 2 5 10 13 26 47 65 94 130 235 470 611 1,222 1,733 3,055 3,466 6,110 8,665 17,330 22,529 45,058 81,451 112,645 162,902 225,290 407,255 814,510 1,058,863 2,117,726 5,294,315 10,588,630

Collatz Trajectory (127 steps to reach 1)

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

10,588,630 5,294,315 15,882,946 7,941,473 23,824,420 11,912,210 5,956,105 17,868,316 8,934,158 4,467,079 13,401,238 6,700,619 20,101,858 10,050,929 30,152,788 15,076,394 7,538,197 22,614,592 11,307,296 5,653,648 2,826,824 1,413,412 706,706 353,353 1,060,060 530,030 265,015 795,046 397,523 1,192,570 596,285 1,788,856 894,428 447,214 223,607 670,822 335,411 1,006,234 503,117 1,509,352 754,676 377,338 188,669 566,008 283,004 141,502 70,751 212,254 106,127 318,382 159,191 477,574 238,787 716,362 358,181 1,074,544 537,272 268,636 134,318 67,159

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