7,421,629

47 × 157907

Starting at 7,421,629, the Collatz iteration reaches 1 after 235 steps. The first transition is 22264888; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 47 × 157907

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,579,584

Proper Divisor Sum 157,955

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7421587 ← → #7421633

Radix Representation

Decimal	7421629
Binary	11100010011111010111101 (23 bits)
Octal	0o34237275
Hexadecimal	0x713EBD

Divisor Catalog (4)

1 47 157,907 7,421,629

Collatz Trajectory (235 steps to reach 1)

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

7,421,629 22,264,888 11,132,444 5,566,222 2,783,111 8,349,334 4,174,667 12,524,002 6,262,001 18,786,004 9,393,002 4,696,501 14,089,504 7,044,752 3,522,376 1,761,188 880,594 440,297 1,320,892 660,446 330,223 990,670 495,335 1,486,006 743,003 2,229,010 1,114,505 3,343,516 1,671,758 835,879 2,507,638 1,253,819 3,761,458 1,880,729 5,642,188 2,821,094 1,410,547 4,231,642 2,115,821 6,347,464 3,173,732 1,586,866 793,433 2,380,300 1,190,150 595,075 1,785,226 892,613 2,677,840 1,338,920 669,460 334,730 167,365 502,096 251,048 125,524 62,762 31,381 94,144 47,072

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