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Atlas › Integer Profiles › Node 7,315,014

7,315,014

2 × 3 × 72 × 139 × 179
Abundant Even Composite

7,315,014 factors as 2 × 3 × 7^2 × 139 × 179. Its 48 positive divisors give a proper-divisor sum of 9,921,786, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 139 × 179
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,236,800
Proper Divisor Sum 9,921,786
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #7315013 ← → #7315027

Radix Representation

Decimal 7315014
Binary 11011111001111001000110 (23 bits)
Octal 0o33717106
Hexadecimal 0x6F9E46

Divisor Catalog (48)

1 2 3 6 7 14 21 42 49 98 139 147 179 278 294 358 417 537 834 973 1,074 1,253 1,946 2,506 2,919 3,759 5,838 6,811 7,518 8,771 13,622 17,542 20,433 24,881 26,313 40,866 49,762 52,626 74,643 149,286 174,167 348,334 522,501 1,045,002 1,219,169 2,438,338 3,657,507 7,315,014

Collatz Trajectory (111 steps to reach 1)

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

7,315,014 3,657,507 10,972,522 5,486,261 16,458,784 8,229,392 4,114,696 2,057,348 1,028,674 514,337 1,543,012 771,506 385,753 1,157,260 578,630 289,315 867,946 433,973 1,301,920 650,960 325,480 162,740 81,370 40,685 122,056 61,028 30,514 15,257 45,772 22,886 11,443 34,330 17,165 51,496 25,748 12,874 6,437 19,312 9,656 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291

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