7,539,980

2² × 5 × 7 × 53857

Starting at 7,539,980, the Collatz iteration reaches 1 after 111 steps. The first transition is 3769990; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 53857

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,096,288

Proper Divisor Sum 10,556,308

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7539977 ← → #7539989

Radix Representation

Decimal	7539980
Binary	11100110000110100001100 (23 bits)
Octal	0o34606414
Hexadecimal	0x730D0C

Divisor Catalog (24)

1 2 4 5 7 10 14 20 28 35 70 140 53,857 107,714 215,428 269,285 376,999 538,570 753,998 1,077,140 1,507,996 1,884,995 3,769,990 7,539,980

Collatz Trajectory (111 steps to reach 1)

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

7,539,980 3,769,990 1,884,995 5,654,986 2,827,493 8,482,480 4,241,240 2,120,620 1,060,310 530,155 1,590,466 795,233 2,385,700 1,192,850 596,425 1,789,276 894,638 447,319 1,341,958 670,979 2,012,938 1,006,469 3,019,408 1,509,704 754,852 377,426 188,713 566,140 283,070 141,535 424,606 212,303 636,910 318,455 955,366 477,683 1,433,050 716,525 2,149,576 1,074,788 537,394 268,697 806,092 403,046 201,523 604,570 302,285 906,856 453,428 226,714 113,357 340,072 170,036 85,018 42,509 127,528 63,764 31,882 15,941 47,824

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