7,525,988

2² × 257 × 7321

Starting at 7,525,988, the Collatz iteration reaches 1 after 80 steps. The first transition is 3762994; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 257 × 7321

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,223,532

Proper Divisor Sum 5,697,544

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #7525979 ← → #7526003

Radix Representation

Decimal	7525988
Binary	11100101101011001100100 (23 bits)
Octal	0o34553144
Hexadecimal	0x72D664

Divisor Catalog (12)

1 2 4 257 514 1,028 7,321 14,642 29,284 1,881,497 3,762,994 7,525,988

Collatz Trajectory (80 steps to reach 1)

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

7,525,988 3,762,994 1,881,497 5,644,492 2,822,246 1,411,123 4,233,370 2,116,685 6,350,056 3,175,028 1,587,514 793,757 2,381,272 1,190,636 595,318 297,659 892,978 446,489 1,339,468 669,734 334,867 1,004,602 502,301 1,506,904 753,452 376,726 188,363 565,090 282,545 847,636 423,818 211,909 635,728 317,864 158,932 79,466 39,733 119,200 59,600 29,800 14,900 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37

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