7,624,213

401 × 19013

Starting at 7,624,213, the Collatz iteration reaches 1 after 155 steps. The first transition is 22872640; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 401 × 19013

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,643,628

Proper Divisor Sum 19,415

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #7624189 ← → #7624217

Radix Representation

Decimal	7624213
Binary	11101000101011000010101 (23 bits)
Octal	0o35053025
Hexadecimal	0x745615

Divisor Catalog (4)

1 401 19,013 7,624,213

Collatz Trajectory (155 steps to reach 1)

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

7,624,213 22,872,640 11,436,320 5,718,160 2,859,080 1,429,540 714,770 357,385 1,072,156 536,078 268,039 804,118 402,059 1,206,178 603,089 1,809,268 904,634 452,317 1,356,952 678,476 339,238 169,619 508,858 254,429 763,288 381,644 190,822 95,411 286,234 143,117 429,352 214,676 107,338 53,669 161,008 80,504 40,252 20,126 10,063 30,190 15,095 45,286 22,643 67,930 33,965 101,896 50,948 25,474 12,737 38,212 19,106 9,553 28,660 14,330 7,165 21,496 10,748 5,374 2,687 8,062

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