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Atlas › Integer Profiles › Node 2,929,640

2,929,640

23 × 5 × 7 × 10463
Abundant Even Composite

2,929,640 factors as 2^3 × 5 × 7 × 10463. Its 32 positive divisors give a proper-divisor sum of 4,604,440, so this integer is abundant. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 10463
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,534,080
Proper Divisor Sum 4,604,440
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2929639 ← → #2929643

Radix Representation

Decimal 2929640
Binary 1011001011001111101000 (22 bits)
Octal 0o13131750
Hexadecimal 0x2CB3E8

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 10,463 20,926 41,852 52,315 73,241 83,704 104,630 146,482 209,260 292,964 366,205 418,520 585,928 732,410 1,464,820 2,929,640

Collatz Trajectory (120 steps to reach 1)

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

2,929,640 1,464,820 732,410 366,205 1,098,616 549,308 274,654 137,327 411,982 205,991 617,974 308,987 926,962 463,481 1,390,444 695,222 347,611 1,042,834 521,417 1,564,252 782,126 391,063 1,173,190 586,595 1,759,786 879,893 2,639,680 1,319,840 659,920 329,960 164,980 82,490 41,245 123,736 61,868 30,934 15,467 46,402 23,201 69,604 34,802 17,401 52,204 26,102 13,051 39,154 19,577 58,732 29,366 14,683 44,050 22,025 66,076 33,038 16,519 49,558 24,779 74,338 37,169 111,508

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