1,202,215

5 × 7³ × 701

Starting at 1,202,215, the Collatz iteration reaches 1 after 72 steps. The first transition is 3606646; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 7^3 × 701

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,684,800

Proper Divisor Sum 482,585

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #1202191 ← → #1202219

Radix Representation

Decimal	1202215
Binary	100100101100000100111 (21 bits)
Octal	0o4454047
Hexadecimal	0x125827

Divisor Catalog (16)

1 5 7 35 49 245 343 701 1,715 3,505 4,907 24,535 34,349 171,745 240,443 1,202,215

Collatz Trajectory (72 steps to reach 1)

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

1,202,215 3,606,646 1,803,323 5,409,970 2,704,985 8,114,956 4,057,478 2,028,739 6,086,218 3,043,109 9,129,328 4,564,664 2,282,332 1,141,166 570,583 1,711,750 855,875 2,567,626 1,283,813 3,851,440 1,925,720 962,860 481,430 240,715 722,146 361,073 1,083,220 541,610 270,805 812,416 406,208 203,104 101,552 50,776 25,388 12,694 6,347 19,042 9,521 28,564 14,282 7,141 21,424 10,712 5,356 2,678 1,339 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212

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