1,522,625

5³ × 13 × 937

Starting at 1,522,625, the Collatz iteration reaches 1 after 163 steps. The first transition is 4567876; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5^3 × 13 × 937

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,048,592

Proper Divisor Sum 525,967

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #1522607 ← → #1522643

Radix Representation

Decimal	1522625
Binary	101110011101111000001 (21 bits)
Octal	0o5635701
Hexadecimal	0x173BC1

Divisor Catalog (16)

1 5 13 25 65 125 325 937 1,625 4,685 12,181 23,425 60,905 117,125 304,525 1,522,625

Collatz Trajectory (163 steps to reach 1)

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

1,522,625 4,567,876 2,283,938 1,141,969 3,425,908 1,712,954 856,477 2,569,432 1,284,716 642,358 321,179 963,538 481,769 1,445,308 722,654 361,327 1,083,982 541,991 1,625,974 812,987 2,438,962 1,219,481 3,658,444 1,829,222 914,611 2,743,834 1,371,917 4,115,752 2,057,876 1,028,938 514,469 1,543,408 771,704 385,852 192,926 96,463 289,390 144,695 434,086 217,043 651,130 325,565 976,696 488,348 244,174 122,087 366,262 183,131 549,394 274,697 824,092 412,046 206,023 618,070 309,035 927,106 463,553 1,390,660 695,330 347,665

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